{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting Isobaric Binary Phase Diagrams with `binplot`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These are a few examples of how to use Thermo-Calc TDB files to calculate isobaric binary phase diagrams. As long as the TDB file is present, each cell in these examples is self contained and can completely reproduce the figure shown.\n",
    "\n",
    "### binplot\n",
    "\n",
    "The phase diagrams are computed with `binplot`, which has four required arguments:\n",
    "1. The Database object\n",
    "2. A list of active components (vacancies (`VA`), which are present in many databases, must be included explictly).\n",
    "3. A list of phases to consider in the calculation\n",
    "4. A dictionary conditions to consider, with keys of pycalphad StateVariables and values of scalars, 1D arrays, or `(start, stop, step)` ranges\n",
    "\n",
    "Note that, at the time of writing, invariant reactions (three-phase 'regions' on binary diagrams) are not yet automatically detected so they\n",
    "are not drawn on the diagram.\n",
    "\n",
    "Also note that the [magic variable](https://ipython.readthedocs.io/en/stable/interactive/magics.html) `%matplotlib inline` should only be used in Jupyter notebooks.\n",
    "\n",
    "\n",
    "### TDB files\n",
    "\n",
    "The TDB files should be located in the current working directory of the notebook. If you are running using a Jupyter notebook, the default working directory is the directory that that notebook is saved in. \n",
    "\n",
    "To check the working directory, run:\n",
    "\n",
    "```python\n",
    "import os\n",
    "print(os.path.abspath(os.curdir))\n",
    "```\n",
    "\n",
    "TDB files can be found in the literature. The [Thermodynamic DataBase DataBase](https://avdwgroup.engin.brown.edu) (TDBDB) has indexed many available databases and links to the original papers and/or TDB files where possible.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Al-Zn (S. Mey, 1993)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The miscibility gap in the fcc phase is included in the Al-Zn diagram, shown below.\n",
    "\n",
    "The format for specifying a range of a state variable is (*start*, *stop*, *step*).\n",
    "\n",
    "S. an Mey, Zeitschrift für Metallkunde 84(7) (1993) 451-455."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAigAAAGgCAYAAACABpytAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdd5hU5fn/8fe9haUtvYOwdEWlCNi72KJi7B27/mwxajRGTeSrRFHRGKNGscSuKKiIGhUVW1AUUKqISBGVXhbYxu7O/ftjhjBZd5ed3Zk9s7Of13XNBXPOM2c+cCncnOc+z2PujoiIiEgySQs6gIiIiEhZKlBEREQk6ahAERERkaSjAkVERESSjgoUERERSToqUERERCTpqEARERGRpKMCRaQOM7Obzcwjr74VjDkvcv6pGn7X0qjv2tHrqajPnRd1/O4Krn1w5PxzNckoIqkjI+gAIlI9ZmbAhYADBlwM/CGBX3k/0KKS842Ba4F0YG4FY35nZg+5+7J4hxOR1KICRaTuOgLoDjwFHA2ca2Y3ufvWRHyZu99f0blIsfQy4eJkAnBvOcMWAb2AO4CzEpFRRFKHpnhE6q6LIz8+BjwPtAFOCCjLbcDJwNfACC9/D42XI+fPMLMhtRlOROoeFSgidZCZtQeGAwvdfSrwr8ipSwLIcjpwC7ASGO7u+RUMdcJTUAaMqaV4IlJHqUARqZvOBzIJT+/g7nOBmcAhZtartkKY2Z6Ei6NC4Lfu/lNl4939Q+At4CAzG14LEUWkjlKBIlLHRPo9LgJCwDNRp54ifHfiolrK0Rl4HWgIXOTu06r40RuAUuAuM1MfnIiUS384iNQ9hwI9gXfd/eeo4y8Qnjo5z8z+7O7FsVzUzHKA88oed/eR5YxtDLwBdATudPfnq/o97j7fzJ4gPB11CfBwLDlFpH5QgSJS92zrM3kq+qC7rzOzScBJwPHA+BivmwPcWs7xkdFvIndwngb2ACYCN8f4PQB/Ac4EbjWzZ6vxeRFJcZriEalDzKwt8NvI2xfLLpBGuDiBajTLuvtH7m5lX+UM/T/CT+zMBs6u4ImdHX3XKuAeoB1wY6yfF5HUpzsoInXLuUADYAbwTQVjhgPDzKy7uy+J55dHntj5M7Ca8BM7W2pwuTHApcA1wLdxiCciKUQFikjdsq0B9nJ3/7K8AWZ2O+HHfi+ietMv5TKzoYSf2NkKnFjT1WDdPd/M/gw8QflTSyJSj6lAEakjzOxgoC8wp6LiJOIJwoXJ+WYW/Rf//pXsxzPT3R+o5LuzCfebNAS+Ag43s8MrybDU3Sv6rmhPAb8Hdq/CWBGpR1SgiNQd21aOfbyyQe6+1MzeBw4Hjos61TPyKk8LoMICBWhN+IkdgKGRV2U+pkwTbwVZQ2Z2PfDOjsaKSP1i1ehvExEREUkoPcUjIiIiSUcFioiIiCQdFSgiIiKSdFSgiIiISNJRgSIiIiJJp94/ZtymTRvPyckJOoaIiNRRM2bMWOvubYPOkWrqfYGSk5PD9OnTg44hIiJ1lJnVaFVlKZ+meERERCTpqEARERGRpKMCRURERJKOChQRERFJOipQREREJOmoQBEREZGkowJFREREko4KFBEREUk6KlBEREQk6ahAERERkaSjAkVERESSjgqUckz44jvWbsqv8HzptzMp/W5WLSYSERGpX+r9ZoFlLVqxgZPHvMEFp3dmp5MXljtmxF9foHGDFnR48staTiciIlI/qEApo1fHlnxw66kM6dmBZmSVO6Z01JlgVsvJRERE6g8VKOU4dPdulZ5Pz+lTS0lERETqJ/WgiIiISNJRgVIFb834gXsmVq/fpOilf1L86b/jnEhERCS1aYqnCl6e+h1vzV5I3vFvx/zZC195mtLd+pNzwNEJSCYiIpKazN2DDWCWDdwOnAC0A74Grnb3ryLnDbgVuARoCUwDrnD3eVHXyALGAGcAjYAPgMvd/acdff+QIUN8+vTplY4pLimlqLiUpo0axPzr84I8yGyAZWTG/FkREUl+ZjbD3YcEnSPVJMMUz+PAkcC5wO7Ae8D7ZtY5cv4G4DrgKmAosBqYHClstrkfOIlwgXIA0Ax408zS4xEwMyO9WsUJgDVqouJEREQkRoEWKGbWiHBhcaO7f+Tui9x9JLAIuCxy9+T3wGh3n+DucwkXMtnAmZFrNAcuBK5398nuPhM4B+gPDKv1X5SIiIjUWNB3UDKAdKCwzPECYH+gO9CB8F0VANy9APgE2DdyaDCQWWbMcuDbqDFxVVBUzGEjx/HSZ9/G9bpb332ZvKtPxLcWxfW6IiIidU2gTbLuvtnMPgduMbO5wErC0zT7EL6L0iEydFWZj64Ctk0BdQBKgbXljOlAOczsEsI9LXTt2jXm3CF3NuYXMbNoLgsYF/PnK7J74Vz23fIzjT0Ut2uKiIjURcnwFM85wJPAT4QLjZnAi8AeUWPKdvJaOcfKqnCMu48FxkK4STbWwE0aNmDG3SMi706J9eMVOz7yEhERqeeCnuLB3X9w94OApsBO7r4n4SmbJYTvqMCv74S0Y/tdlZWEp4naVDJGRERE6pDAC5Rt3D3P3VeYWUvCT/VMZHuRcvi2cWbWkPCTOlMjh2YAxWXGdAF2iRpTK4pLSmvz63B3vLR2v1NERKQ2BF6gmNmRZna0mXU3s8OBKcB3wL88vEjL/cCNZnaime0GPAVsAV4AcPdc4AngHjMbZmaDgGeB2cD7tfXr+GD2MhqfdT9TF/xcW19Jwf/9P/LOPajWvk9ERKS2JEMPSnPgTqALsB6YANzs7sWR83cTXnztIbYv1HaEu2+OusY1QAkwju0LtY1w91q7vdCrYwsOO6AlE9o9zns7bI+Jj132zmVAtwHsXCvfJiIiUnsCX0k2aFVZSVZERKQiWkk2MQKf4hEREREpSwVKAhUVlzB90codD6wlHgpRMm8G9f2umYiIJD8VKAn00DtfM/TGZ5n745qgowBQ8uFE8i85ktIvpwQdRUREpFLJ0CSbss46oB+/NFzKK10eYnzQYYDMfbZy/B8uZteB+wQdRUREpFJqklWTrIiI1ICaZBNDUzwiIiKSdFSg1LJVG/P4x9sza33V2eoKbVhL0Stj8eKtQUcREZF6RD0otWz859/xuyc/YO7Ob9KxR/LvWrzbp/M44v4ppPcbTMaug4OOIyIi9YQKlFp26RED2X+XLgzIaRd0lCrxY0oJ7Tyf9D67Bx1FRETqEU3x1LKM9LQ6U5wAWHq6ihMREal1KlBEREQk6ahASQIrNmzhjL9NYuEv64OOEjdFT/+NreMfDzqGiIjUUepBSQIrNuTx2pffM+iQEPmdvg46Tlyc+sUEmrbYia4nXxR0FBERqYO0UFuSLNTm7phZ0DFERCRGWqgtMTTFkyRUnIiIiGynAkVERESSjgqUJLbvTc/zfy//J+gYtarwsTvJu+yYoGOIiEjA1CSbxLq2acaGZj8zkpFBR6k1A1vOZmD7TJoEHURERAKlJtkkaZIVEZG6SU2yiaEpHhEREUk6KlDqmFDIWbspP+gYScnzt+CF+r0REUkFKlDqmL9O+JzOlzzC6ty8oKMknbwrh5P/hzOCjiEiInGgJtk65tjBPVkUWsKDTe9RdVlGv5Pb0rdBfwYEHURERGpMBUodM6hHe57ucVbQMZLTb4IOICIi8aJ/hIuIiEjSUYGSIr5Y+AtLVm0MOkad5UWFFH/6bzwUCjqKiIigAiVlHDnqFa55akrQMeqs4g9ep+DGcyid+VnQUUREBPWgpIy3bzqJpS3m1qtVZ+Mp47ASjm38BwYM2i/oKCIiggqUlLHfzl3Yjy7AUUFHqZuygIODDiEiIttoikdERESSjgqUFFZQVMwtL36q5tlaENq4jsJHRhHauC7oKCIiKUFTPCnsh1UbuePVLyhqu5Im7ecFHSel5SxYxonPTiJj0H6k7XVI0HFEROo87Wac4rsZ/7J+C51aNQ06Rr0QWrOCtLYdg44hIrVMuxknhqZ4UpyKk9qj4kREJH5UoIiIiEjSUYFSDy1etZHDRo5j7o9rgo4iUQrH3knhw/8XdAwRkaSgJtl6aEvBVhau2MCU/C8Yz4yg40jEUSsn07G4Fd2CDiIikgQCbZI1s3RgJHA20BFYATwPjHT3ksgYA24FLgFaAtOAK9x9XtR1soAxwBlAI+AD4HJ3/2lHGVK9SVZERBJLTbKJEfQUzx+BK4DfATsDV0fe/ylqzA3AdcBVwFBgNTDZzLKjxtwPnES4QDkAaAa8GSmAREREpI4JeopnX2CSu0+KvF9qZm8Ae8F/7578Hhjt7hMix84lXKScCTxqZs2BC4Hz3X1yZMw5wDJgGPBuLf56REREJA6CvoPyGXCIme0MYGb9gEOBtyPnuwMdgPe2fcDdC4BPCBc3AIOBzDJjlgPfRo2RKlixYQstz32AJz6YHXQUqQYvKWbzCf0pHHtn0FFERGos6DsodwHZwHwzK43k+au7Pxw53yHy46oyn1sFdI4aUwqsLWdMB8phZpcQ7mmha9euNcmfUpo1asDRg3qQ32kZI3k16DgSq3Rn2D4tadrHGBh0FhGRGgq6QDkNGEF4umYeMBD4u5ktcfcnosaV7eS1co6VVeEYdx8LjIVwk2w1cqekJg0b8MLvj428Oy7QLFINRrhjS0QkBQQ9xXMPMMbdX3L3Oe7+LHAf25tkV0Z+LHsnpB3b76qsBNKBNpWMERERkTok6AKlMeHpmWilbM+1hHABcvi2k2bWkPCTOlMjh2YAxWXGdAF2iRojNbRhSyHL124KOobUgtLF3+KhUNAxRKSeC7pAmQTcaGbHmFmOmZ0AXAu8BuDhRVruj4w50cx2A54CtgAvRMbkAk8A95jZMDMbBDwLzAber+1fUKo698G32fPG54KOIQlWOn8meeccQPGbzwcdRUTquaB7UK4CbgceJjwlswJ4DLgtaszdhBdfe4jtC7Ud4e6bo8ZcA5QA49i+UNsIdy97d0aq6Y+/3ZPJ679kJCODjiIJlN6rlAFX7UerA5qxf9BhRKReC3Ql2WSglWRFRKQmtJJsYgQ9xSMiIiLyKypQpMY+mL2MaQt/CTqGJInS+TMp+erjoGOISB0XdA+KpIBLHn2Xpq1DnHDbyh0PlpR3ysOv0W5lMW3Hzw86iojUYSpQpMbeveUUGjbIoAvZOx4sKS9066VQVBB0DBGp46pcoJjZPoTXGjkQ6Ep4YbQCwhv3fQNMAd509/UJyClJrFfHlkFHkCSS1rZj0BFEJAVUWqCYWQPCe9ZcBuxMeDHtbTYBrYGOwADCS9YXmdkrwH3uPishiUVERCTlVdgka2anAAuAB4AmwL3ACUAXINPdW7h7Q6AZsCdwNeH1R84AZpjZE2ZW7mZ9Un/MW76WSx55l9y8oqCjSB1R9NwDbH3n5aBjiEjAKruDMo7wSqwXuvuUiga5+xZgeuT1oJm1BS4CrgOW8b+Lrkk9882S1fzrozk0OO4L2jSp32vuSNWMePcF0nP60u2oU4OOIiIBqnChNjM7wN0/rfaFzbKB7u4+u7rXqA1aqC3xiopLyMpUP7ZUjZcUQ1o6lqZVEKRu0EJtiVHhnwDVLU7MrHXk85uTvTiR2qHiRGJhGZkqTkSk8oXazOzsWC5mZi3QBn0iIiJSQzv6Z8oTZnZEVS5kZk2Bd4H+NU4l9Ubh1hL2uek5Hpush76k5vL/fCGFD40MOoaIxMGO7r3nA6+Y2WHuXmGjhpk1Bt4GhgKvxDGfpDgzaNQgkx8yv2ckrwUdR+q4oxosoGVmBn2DDiIiNVbpbsZmdiDwDuE1T/Z390XljMkC3gIOBSYBJ7p7aWLixp+aZEVEpCbUJJsYlU7xuPsnwFmEF2R718zaRZ83s0xgAuHiZDJwcl0qTkRERCQ57bBV3t1fA64EugPvRB4fxszSgZeA3wCfAMe7e3ECs0o9tylfi71JYnhRIV68NegYIhKlSs/yufujwEhgIPC6mTUEniO8suwXwDHuXpiokCKzlq6m5Xn/4KXPvg06iqSgvP93NAU3jgg6hohEqfICFe5+m5l1BC4FFgGdCG8SeLS75yUonwgAOW2bc/mRAyntuYyRjAs6jqSYAce2pGfTfnoEUSSJVNok+6vBZga8DJwEzAMOquu7F6tJVkREakJNsomxo92My1sJtgHghDcJ/Chcs/wPd/cB8YknIiIi9dGOpnh2q+TcTpFXWdoRTpLCtIW/0KtjS1pnNwo6iqSg0mXfYxmZpHXOCTqKSEraUYGye62kEImz3Lwi9rn5ea44ahD/uHBY0HEkBRXceA7WtDlNHns36CgiKanSAsXd59VWEJF4at4ki9eu/y2F3RczkpFBx5EU1PGmAQzM3JO9gg4ikqK0zaykrOP37A30Bo4MOoqkIt1fFkmoCtdBiawSWyPxuIaIiIjUP5Ut1Pa9mV0YWTE2JmbW28yeB/5Y/WgiwSkpDXH369P4YeWGoKNIiiiZNoXi97UhpkhVVTbFMxN4DBhlZs8RXv9kZkV77UT26TkSGAEcAqwBnohvXJHa8ePaTdz4/Cf8wGI6/va7oONICjjphYm0X1lMu2EnBB1FpE7Y0W7GBwF3AnsTfny4AJgFrAA2AA0JbyS4M9At8rFNwEPAaHffkrDkcaKF2qQii1dtpGubZmSkV2lHCJFK+eZcvGQraS3bBh1F4kwLtSXGjp7i+RjY18wGARcChwH7lDN0C/Ae4Z2NX3D3/HgHFaltPdq3CDqCpBDLbs6vlrUUkQpV6Sked/+a8I7GmFlroCvhOycFwGpgcUVTPyIiIiKxivnetbuvc/ev3f19d/+Pu3+v4kRkx96fvZSTx0wkv6g46CiS5Eq/m0X+DWcR2rAm6CgigdE6KCK1ZOnqTXz03RJGbv0rjbOCTiPJrMeaJRw7dypZWzaBelaknoppN+NUpCZZERGpCTXJJoYeTxAREZGkowJFREREko4KFJEU8M2SVbS94EE+nrc86ChSy4qevJstZ+6Dl+pZBUktapIVSQEtmzZkz14dWdp8LlO0gHO9snPn79hrl440SdO/NyW1BNoka2ZL2b4CbbS33f0YMzPgVuASoCUwDbjC3edFXSMLGAOcATQCPgAud/efqpJBTbIiIlITapJNjJhLbjNLM7P9zexiM7sm6ni6mTWO8XJDgY5Rrz0IL6n/cuT8DcB1wFWRsauByWaWHXWN+4GTCBcoBwDNgDers8mhiIiIJIeYChQzOxD4HvgYeJTwnYtt9gE2m9kpVb2eu69x95XbXsBvCO/l80rk7snvCe/pM8Hd5wLnAtnAmZE8zQkvwX+9u09295nAOUB/YFgsvzYR+bVQyFm6OjfoGBInoZ+XBh1BpMqqXKCY2QDgHcIFwp+B8dHn3f0z4EegWlt1RgqSC4HnInv5dAc6EN7jZ9t3FACfAPtGDg0GMsuMWQ58GzVGRKrpkfe+occVY5m/fG3QUaSGij+cyJZTh1Dy9X+CjiJSJbE0yf4FKAaGuPuPZnYr4amVaF8SnqapjsMJFyWPR953iPy4qsy4VUDnqDGlQNk/PVdFff5XzOwSwn0tdO3atZpxRVLfMYN7MDOvMy90eFAd9XVco0H5HH/hafTt0z/oKCJVEsufOQcCr7n7j5WM+RE4qppZLga+cvdvyhwv28Vr5Rwrq9Ix7j4WGAvhJtkYc4rUG93aNufxk84MOobEQ0vggqBDiFRdLD0o2fz6bkZZWVTj0WUzawccDzwWdXhl5Meyd0LaReVYCaQDbSoZIyIiInVMLAXKCmCXHYzpDyytRo7zgCLgpahjSwgXIIdvO2BmDQk/qTM1cmgG4Wmn6DFdIjmnIiJJY3VuHuM//y7oGLIDpcu+p2TGJ0HHEInpbsd7wAVmNtjdZ5Q9aWaHEJ4GGvOrT1Yi0hx7EfCSu2/edtzd3czuB242swXAQuAWYAvwQmRMrpk9AdxjZquBdcB9wGzg/VhyiEhi/fPdbxj58lR+91A+LdtrZjVZDX/kbbrPWEnL9yqbzRdJvFgKlDuA04ApZnYP0AvAzA4iXJhcR7hZ9d4YMxwM9AbOLufc3YQXX3uI7Qu1HRFdyADXACXAOLYv1DbC3bXus0gSuebYIRzUbycObq/G9GQWuuYSfKOe2pLgxbSSrJntS3gRtU6Em1At6sefgRPd/asE5EwYrSQrIiI1oZVkEyOmhlZ3n2pmPYGTgb2B1kAu8AUwzt0L4x9RRERE6ptYFmprZWbN3L3I3Z9396vc/Ux3v8zdn1ZxIiKJtKVgK9f860O++3l90FHqveIpb1D08qNBx4ib0OpfKPzbnwhtXFfpuNK8byha9gc8tLWWktVvsdxBWQM8S/iJGxGRWvXT+s38498zadBtHY06z9vxByRhjpv8NjstLqTdqZcGHSUuSr+fQ9GEx3nmsPX80qJjheMGb/qcg1dNIbPD77GsLrWYsH6qcg+Kma0HHnP3PyY2Uu1SD4pI3bExr5AWTRoGHaPe85JiKCnGGsa6P2zy8s25WHbzyse4Q+kmLON/x6kHJTFiuYPyJeF1TkREAqHiJDlYRiZkZAYdI652VJwAmBlk7HicxEcsC7XdDhxmZqcnKoyIiIgIxFag7AVMBp43s4/M7B4zu87Mri37SlBWEZGYhULOMXdM4J/vfh10lHqj+MOJ5F05HC/IC+T7Q6t/Ie/iIymZ9UWNr7X1p79Q9MP5cUglsYpliid6hdgDI6/yOOHVXEVEksKm/CLmFH3HSCYGHaVe2GXrAg7KX0njUCiYAKUleP4Wvin5ijd5p0aXOrj0fXqWZrJTnKJJ1cXSJHtMVS/q7m9VO1EtU5OsiIjUhJpkE6PKd1DqUtEhIiIidVssPSgiIvXG1mJt55UoXhzbQmdeUkIs27LUlHsp7gFNT8l/xbTUvYhIffDMR3O55NH3mPe38+nZoWXQcVJKaMNatpwymKyL/kjW6ZdX6TN55+xPer89aPTnhxOcLqxw3r5YZgca9q1+z9KMGTPaZWRkPA7shm4GlCcEzC0pKblo8ODBq8sbUOUCxcw2VXGou7seFBeROmtATjsOO7Aljzf/O1lBh0kxaU1LOeTI7jTsl8bQKn4m8/ATWdCliNcYmcho/zW0VTO6ZfRhtxpcIyMj4/EOHTrs0rZt2w1paWm1d/unjgiFQrZmzZp+K1eufBwYXt6YWJpkpxN+QqesFkAOkA4sAPLcvar/3QVOTbIiIlIT5TXJzpo1a/Huu++u4qQSoVDI5syZ03LAgAE9yjsfS5NshR3KZtYa+AewC3BozClFRERSS5qKk8pFfn8qnP6Ky7yYu68DRgBZwKh4XFNEJNmUlob4/Lufa7VhU2qPewmlmz8POoZExK1J1t1LzOwD4CTg6nhdV0QkWYz/YiGn/20S79xyMkcO7B50HImzkrXPsXXx+TTc5WPSm1W0Fmn1tDn/HwPWbS6M29+5rbMblqz911WzKhuTnp4+uHfv3gXb3k+cOHFR3759t06ZMqXx9ddfv9PatWszzcz33HPPLY8//vjy7Ozs0Msvv9zstttu65yfn5/m7hx++OG5Y8eO/amy7+nbt2+/Pn36FEyaNGnJtmNPPvlkyzvuuKPT4sWLG3700UffHnjggfmx/hrj/RRPOtAmztcUEUkKv9mjB9dc0o1P+z2N/p2derJaFjI85xr6Nd077teOZ3FS1etlZWWFFixYMD/62PLlyzPOOuusns8888ziYcOG5YVCIZ5++umWGzduTFuwYEGD6667rusbb7yxaNCgQYXFxcXce++9bSv7jpkzZzZ0d6ZNm5a9adOmtGbNmoUABg4cWDBhwoRFF198cU51f41x+w0zsxzgZGBxvK4pIpJMshs14L4jTg06hiRKBtA+6BCJde+997Y79dRT1w0bNiwPIC0tjfPPP38DwO9+97su11133YpBgwYVAmRmZnLjjTeuqex6Tz/9dKtTTz113YIFCxq9+OKLLS699NL1AHvssUdhTbPG8pjxA5VcYyfgMMI9KLfWNJSIiIjUTFFRUdrOO+/cD2CnnXYqmjx58g/z589vNGLEiHXljf/uu+8a3XDDDati+Y6JEye2eu+99xbOnTu34MEHH2y3rUCJh1juoFy5g/M/Afe4+z9rkEdEJOmsyc3n+U/nc9mRA8nK1PqWqax082d48VoyWv026Cg1Vt4UTzx9/PHHjVu1alXSp0+frT169Nh62WWX5axZsya9bdu2cVmGOZb/03av4HgI2ODuK+OQR0Qk6Uya/gPXPDWFuX3epksfLYGeyk7++Tk6FWymVQoUKOXZZZddCqZPn9747LPP3lj2XJ8+fQqnTZvWeJ999iko77NlPfvss60WL17csHPnzrsD5OXlpT/77LMtr7322rXxyBrLOijz4vGFIiJ1zXmH7MaQnu3pn9Mu6CiSYN7zSjxUpb+f66Q//OEPq/faa69dhg8fnnvooYfmATz88MOtjj322E1/+tOfVp5yyik9Dz300C39+/cvKi0t5fbbb28/cuTIX037lJaW8uabb7b6+uuv53Xv3r0YYNKkSdl33HFHx3gVKFVeB8XMHjCzo3Yw5ohKelVEROqktDRTcVJPWGYb0rJ2ivt1W2c3LEmG6+20004lzzzzzOLrr7++S05Ozm49evTY9bPPPstu2bJlaK+99iq46667lp9xxhk9evTosWufPn12XbFiRWZ51/n3v/+d3b59+63bihOAo48+evOiRYsaLlu2LPOZZ55p0b59+/7ffPNNkxNOOKH3/vvv3zvWrLEsdR8CRrr7bZWMuRm4zd3TYw0SFC11LyIiNVHBUvdLBwwYEJc7Cals1qxZbQYMGJBT3rl477CYCWiPchFJCZOmL+LSR98lFNLKsfWFh4oo+uE8SnOnBB2l3ou1Hb3C/0vNLB3YDyh322QRkbpmxg+rGP/Vt7Q9/3MyGgSdRmpDw9J8LtowjtVNsunX/JCg4ySFP/7xjx0mTpzYKvrY8ccfv/6uu+5K6MMxlU7xmNnsqLe7ES4+yitA0oGOQHPgCXe/JJ4hE0lTPCIiUhOa4qm+yqZ4dnQHpRPb75o4kE24GCmrFFgBPAfcUr2YIiIiImGVFiju/t99dSJNsndV1iQrIiIiEg+xNLDd2aQAACAASURBVMkeB7yYqCAiNXH6fZM478G3g44RN394egrD/m9c0DHqrX1ueo5bx30WdAwJSMm6l8j/pjdeXOk2NJJgsSzU9lYig4jURJfWTVmZ+TMjGRl0lLiY3SKDBm07Bx2j3spp25zc5r+kzH9PEpuc9EUckdWcRqbO6CDFvKmEmaUB/YHOhDcH/BV3f7WGuURiMubcFOu2Pz7oAPXbi9ccF3QECVKLyCuO8ma0GUDJuvht5JTRuqTJ4LWzKhvSuHHjQfn5+V9ve//AAw+0nj59epNnnnnmR4AHH3yw9d///vcO7o67c9ZZZ6297bbbVp100kk5X3zxRXZ2dnZpWlqaP/DAAz9u2/24PMXFxbRr127AmWeeufahhx76edvxU089tdusWbOauDs9evQoHDdu3NLmzZtXea+ImNZBMbPTgB+BGcAbwCtlXuMjP4qIiMg28SxO4nC9l19+udnDDz/cbvLkyQsXLVo0b86cOfObN2/+33XMRo0a9dOCBQvmjxo16ufLL7+8W2XXevXVV5t379696I033mgZCm2vPx555JHl33333fyFCxfO79Kly9a77rorpuWYY1nq/lDgBaAAGAkY8A5wJzA18n4C8LtYAogAbCnYypaCrUHHSDkbthSytVhrJ1ZFaWmINbn5QceQJOEluSm9J8/dd9/dcfTo0T/l5OQUAzRu3Nivu+66Xz0WfdRRR21evnx5ubMl27z44outLr/88lWdOnXa+uGHHzbZdrxVq1YhgFAoREFBQZqZxZQxljso1wO5wJ7ufnvk2DR3v8XdDwCuAYYDX8aUQAQ4ctQrDLvt5aBjpBR3p+eVj/H/xr4XdJQ64a+vfkGXSx9RkSIAFMwbStH3pwQdo0aKiorSdt55537bXnfeeWenbee+//77Rvvtt98O/2N/6aWXWvTu3bvCSm3Lli02derU7NNOOy33lFNOWf/cc8/9z4JuJ598ck7btm0HLFq0qOGNN94Y00KusdwiGgq84e4boo79t8Bx97+b2SnAXwg/8SNSZVcdvQdzfb6aEuPJYOhJGeyWU7zjscLwIT1Z4kv4R9O7474HiNQ9u3fcmZ6ZezEw6CA1kJWVFVqwYMH8be+39aBU5bO33HJLl7vuuqtjq1atip944omlFY17+eWXW+y9996bs7OzQ2efffaGgQMHdiopKVmekREuL8aPH7+0pKSE8847r+uTTz7Z8uqrr15X1fyxFChNgZ+j3hcRXrgt2jTgvBiuiZl1BEYDv4lcbzFwmbt/HDlvwK3AJUDLyHdc4e7zoq6RBYwBzgAaAR8Al7v7T7FkkeCcvv8uwC7ASUFHSS36p0KVDezenn91PyvoGJIsUnzz6l69ehX85z//aTx8+PDN5Z0fNWrUT+eff/6G8s5Fe+mll1rNmDGjaefOnXcHyM3NTX/zzTezf/vb3/73uhkZGZxxxhnrx4wZ0yGWAiWWfyisAtpEvV8BlN0+uSnhDQOrxMxaAP8h3L9yDOG/oa7if5fTvwG4LnJ8aOTcZDOLLo7uJ/w32xnAAUAz4M3I/kAiIiIS5YYbblh50003dfnxxx8zAAoKCmzUqFExlWXr169Pmz59etOffvpp9s8//zzn559/njN69OgfX3jhhVahUIi5c+dmQbgHZeLEiS169+5dGMv1YylQvgX6RL2fCgwzsz0AzKwXcEpkXFXdAKxw9xHu/qW7L3H3D9z928g1Dfg9MNrdJ7j7XOBcwndazoyMaQ5cCFzv7pPdfSZwDuFHoYfFkEXibHVuHu/PXhp0DInB+s0FvPP1kqBj1JqtxaW8/uX3lJRW+clHqSc8VEzJ+tfxUJymSDNal8TnQvG53mmnnZZ78cUXrz7ssMP69urVa9f+/fv3KykpiamL9bnnnmu57777bm7UqNF/N/U7/fTTN06ePLlFUVGRjRgxonufPn369e3bd9eVK1dmjh49+pdYrl/pZoH/M9DsasLTKF3cfZWZDQS+IDxNtJzwvj2ZwEnu/loVrzmf8JNAnYFDgF+Ax4GH3N3NrAfwA+HG3K+iPvcWsNbdz408XfQB0M7d10SNmQeMd/dbK8ugzQIT57qnp3DfpOmsefIK2jRrHHQcqYI/v/gZoyZ8zrJ/XkrXts2CjpNwL09dwGn3TeLNP53IMYN7Bh1HkkjJhjcoWng8Wb3Hk9Gq8qlnbRZYfTXZLDDao8CbhJ/kwd2/MbOjCfeH9CT89M7fqlqcRPQALgf+RrgPZSDwj8i5B4EOkZ+vKvO5VYSLGiJjSoGy/yGsivr8/zCzSwj3tNC1a9cY4kos/vjbPekwYBMPNrs76ChSRUXHwui+A+tFcQJw/NBe3HZ9L6YNfJavdjxc6pG05qX07H0qXVo046Cgw9RTsSx1X0j4bkb0sSnAlBp8fxow3d3/FHn/tZn1Bq4gXKD896vKfM7KOVZWhWPcfSwwFsJ3UGINLVXTrnkTrh94PFoWtQ7JBvYIOkTtycrM4M97nQCcEHQUSTZpQKsdjqo3zjnnnK5fffVV0+hjl1122apYml5jVeUCxczeAL5091Fx/P4VwPwyx74Fro78fGXkxw6Ep5G2acf2uyorgXTCDbxryoz5JI5ZRURE6qVnn332x9r+zliaZA8H4t1I8B+gb5ljfYBlkZ8vIVyAHL7tpJk1JPykztTIoRlAcZkxXQg/EbRtjCTAmIlf8ul8PcldH/20bjN/ev4TNuUXBR0lZotXbeTmFz6loEjrw0jlSjZMonj1E0HHqLdi6UH5ge19H/HyN2Cqmd0MjAMGEV4q/yaASKPs/cDNZrYAWAjcAmwhvOw+7p5rZk8A95jZamAdcB8wG3g/znkloriklNvGf84hBzbng35Lg44jtWzugnQmvNaQ44f2Yu8+nXb8gSTywexl3PnaF2w44EPa7aQZXqnYiatfoHNhAa3bXRh0lHoplgLlX8CNZtbR3VfE48vd/Ssz+y1wB/BnwhsR/hl4OGrY3YQXX3uI7Qu1HeHu0YvLXAOUEC5yti3UNsLdtQlJgmRmpLPk4UvIbtiABmi5mXpnP1jRbwsdWzbd8dgkc/HhAzh2SM86mV1ql/e6AVx32oISyxTPM8DnwKdmdp6Z7Wpmrc2sVdlXLAHc/S13H+DuDd29j7s/4FHPPnvYSHfvGBlzUGQ9lOhrFLr7Ve7e2t0bu/tx7r78198m8dQ6uxENMlWc1Fd1+S/4upxdao+lN8Yymgcdo9oaN248qOyxa6+9ttNf/vKX9hBeQO2GG27o2K1bt91ycnJ2Gzp0aN9p06Y1qujzDzzwQOsRI0Z0LXudk046Kadz58679+3bt19OTs5uJ5xwQs6SJUuqvGhrRWK5g7KK8FMxBlQ2KecxXldERCSlbTq69wA2bYjf343NWpY0+/f3s2pyidGjR7edNm1ak7lz587Pzs4Ovfrqq81OOOGEXgsWLJjXrFmzmFYv3LY0figU4vbbb293yCGH9F2wYMG8hg0bVnseNZY7KK9GXhOifl7eK5Z1UCSJFRWXcOwdExj/+XdBR5E66JF3v+GMv00KOgYAlz82mTtf/SLoGFLHePEaCr49jNJNn9b8YvEsTuJ0vQceeKDjww8/vDw7OzsEcOKJJ27ac889t4wdO7baD1inpaVx6623rm7Tpk3x+PHja3T7KZZ1UE6uyRdJ3VNSGmLJ6lymbprFXF4MOo7UMR9tzGTVqpZBxwBg6epcVtgvjOSdoKNIHZIdyuX0opmsKf2EgRwQdJy4Wr9+fVpBQUHarrvu+j+P4g0ePDhv/vz5jSr6XFX1798//9tvv21Yk2toKkYq1KRhA+bdf0HQMaSuOi3ySgJv36x/X0k1ZAED/xb3x1eT2Y62vzGzKk3ZVHUbncrEMsXzX2bWxcwONzMtvygiIlLHtGrVKtSoUaPQ/PnzG0Qf//rrrxsPGTIkDyArKytUWFj43w0E169fn9GmTZsqbVI4Z86cxv369SuoScaYChQz29nMPia8kNo7wCtR5w4ys9VmdlRNAomIiEjiXXnllSuvuOKKrlu2bDGA119/PXvhwoWNzjvvvA0Ae+211+ZHHnmkFcCWLVvstddeazls2LDNlV0zFAoxatSodmvWrMk86aSTNtUkXyxL3XcHPgOaEH6KJwc4LGrIZ4Q37TsFNNFblyxetZH+1z3F4//vSE7ff5eg40g9sfu1/2Lv3p147LIj437to0a9QpqZpnakxoqWXUvphtdpNOAHzGzHH0gihYWFae3bt++/7f1ll132Pxvv3nTTTas3btyYvuuuu+5aUlJixcXFNmfOnHmNGzd2gH/+85/LL7jggm6PPPJIe3fn9NNPX3f00UdvKe+7brnlli6jR4/uWFhYmDZo0KC8Dz/88LuaPMEDsfWg3Ao0BfZx96/N7FaiChR3LzWz/wB71ySQ1L5WTRty3OCe5HZczEjGBR1H6olmgzJp1Tkx65Ectns3FvMDIxmZkOtL/bFz0x/Z0wfRo6bFSbOWJfF+zHhHQ0Kh0IzKzqelpTFmzJgVY8aMWZGbm5t29NFH97z99ts7PPjggz8DdO/evXjKlCmLyvvsfffd98u2n0+YMGFpjOmrJJbfrCOA19z960rGLAcOrVkkqW0tmjTkxWuOi7w7JtAsUn+MPCdx177++D2BPRP3BVJ/tI68aqima5YkWvPmzUNTp079Pugc0WLpQWnN9k38KuJAjR4rEhEREYmlQFkDdN/BmF2An6sfRxItr3Ari1ZsCDqGSKWWrcllw5bCKo0tLQ0xZ9maBCeS+iyUPx8PbQ06Rr0TS4HyMTA80iz7K2bWHzgcmByPYJIYNzz7Mf2ueZK8Qv3PJslryB+f5YKH/12lsU9+OIf+1z3FV4visoepyP8IFS6hYM5uFK8YE/NHQ6FQ3eqqrWWR358Kl9SPpQflTuBEwpsF/gloA2Bm3YADCe9IXADcW+20knCXHTmQJj02ck/DO4KOIlKhgy9K55A2OVUaO3xoL2YVfcvEbo/yVmJjSX2U5QzqdhRtW/Zg39g+OXfNmjX92rZtm5uWllbzVctSTCgUsjVr1jQH5lY0xmJZ7S2yMNszQONthwj3nQDkA6e7e536M2LIkCE+ffr0oGOIiEgdZWYz3H1I9LEZM2a0y8jIeBzYjWouipriQsDckpKSiwYPHry6vAExPfLk7q+ZWS/gIsKPE7cGcoEvgLHurnusIiJS70X+0h0edI66LOZnst19FfDXBGSROPth5Qa+XLSSM7T4mohItYXy5xMqXEBGqxODjlKvaLPAFPbA2zN58J2ZzBo0joZNgk4jIlI3Hb3idfqtm0/TofmY6a/N2hJTDwqAmR0PXAAMApoTnuL5GnjS3SfGPWGCpXIPSm5eEUtWb2Rg9/ZBRxERqbO8eB1evJK0xruWe768HhSpuVj24kkHniW8gfq2R6fygC6R17FmNg44290rfGxIak/zJlkqTkREasgyW2OZcVhOVmISS2fxH4DTgVnAcUC2u2cD2YQbgWYTLl7+EO+QIiIiUr/EUqBcCCwF9nf3t9w9D8Dd89z9TWA/4EfCT/hILZk8aynX/OtDQiE9Zi8ikihbf7yBkg11ahWNOi+Wbp+uwEPunl/eSXfPN7PXgMvikkyq5OP5y3ny429ofOYnZGYFnUZEJPWYh7hszcNs9qX0bKkNVWtLLAXKSrb3nlTEgFXVjyOxGnXGAfzl5H1pkJkedBQRkdRk4IP+TFs9wVOrYpnieRk40cwal3fSzJoSXgp/XDyCSdWpOBERSSxLy8RMW+vUplgKlFuBhcBUMxtuZi0AzKxF5NHjz4DvIuNEREREqi2WAmUVsA/QH3gNWGdmRcA64NXI8X2A1Wa2KeqVG+/Q9dGyNbnsds2/+HDOsqCjiIjUO6W5H5A/ezdCRfozuLbEMqG2kO0bA0otS09Lo0lWJnPTZ/MJ/wo6johIvdLFlnFcWikN0ZR6bYl5JdlUk8oryYqISOJpJdnE0BbQIiIiknRUoCSp/KJiSkq1Y4CISLLwUAEe2hp0jHoj5oe6zewQYCDh/Xcyyxni7n51TYPVd31/9wSH7taVp6/6TdBRREQEKJy3L9agEw37akXZ2hDLZoGdCD+tM5TKF2xzQAVKDV151CBKuvzCSEYGHUVERICB7TrRI30Q/YMOUk/EcgflAWBPwgu2PQP8DJQkIpTAH0/YK/KzEwLNISIiEdocvlbFUqAcDnzo7qcnKoyIiIgIxNYkGwJmJipIfffl9ytYnZsXdAwREamAh4opzZ2Mux5gqA2xFCjTgJ0TFaQ+KyouYd+bn+dPz38adBQREalA6fpXKFxwBKW57wcdpV6IZYrnVmCKmR3n7pPi8eVmNpJf792zyt07RM5b5PwlQEvCRdIV7j4v6hpZwBjgDKAR8AFwubv/FI+MtSErM4M3bjyR3M7fqylWRCRJZbQsZnjPm9i92SFBR6kXqlyguPs0M/sNMN7MPic83VPuPjvufl8MGb4DDo56Xxr18xuA64DzIuP+Akw2s77uvjky5n7geMIFyjrgPuBNMxvs7tHXSmq/2aMH0AM4MugoIiJSnnSgTdAh6o9YHjNuAlwLtAKOibzK44SLhKoqcfeV5XyfAb8HRrv7hMixc4HVwJnAo2bWHLgQON/dJ0fGnAMsA4YB78aQQ0RERJJELFM8Y4BjganA88AvxOcx4x5m9jOwlfAUzk3uvhjoDnQA3ts20N0LzOwTYF/gUWAw4cXioscsN7NvI2OStkD5evEqPv32J353zOCgo4iISBWVrH0RMlqT0eKIoKOkvFgKlBOAr4ADPH47DE4jPH2zAGgH3AJMNbNdCRcnAKvKfGYV0Dny8w6Ep4TWljOmAxUws0sI97XQtWvX6qevgWc+nsdD781k5aGTaNAokAgiIhKji356gLSGveikAiXhYilQmgIfx7E4wd3/Hf3ezL4AFgPnAl9sG1bmY1bOsbIqHePuY4GxEN7NOIbIcTP67AO5bvhQujTKDuLrRUSkGnzXK8Cygo5RL8TymPFsoFuiggC4+xZgHtAb2NaXUvZOSDu231VZSfltS9FjklJWZgZdWqs4ERGpSyyzLZbRLOgY9UIsBcqdwHAzS1jThJk1JLzWygpgCeEC5PAy5w8g3AcDMAMoLjOmC7BL1BgRERGpY2KZ4skE3gI+M7MnCBcHFT1m/GpVLmhmY4BJwI+E73r8GWgCPO3ubmb3Azeb2QJgIeEelS3AC5HvyY1kucfMVrP9MePZQNKtpHPvG1+xKjePu885OOgoIiJSDaWb/0PxL3eT1fMpLKNl0HFSWiwFynjCfR0GXE75PR7bej/Sq3jNLsCLhKdo1hDuO9nb3ZdFzt9NePG1h9i+UNsRUWugAFxD+GmicWxfqG1EMq6BMufHNcxe+yMj+SjoKCIiUg19t87j6LxPaVC6RQVKgllVe17N7IqqXtTdH6p2olo2ZMgQnz59etAxRESkjjKzGe4+JOgcqSaWlWTrTNEhIiIidVssTbIiIiIitSLmAsXMmpnZ2Wb2VzP7e9TxFmbWz8waxDdi3Tb6tWn0vGIsRcXxWHRXRESC5KV55H/TneIVsezoItURS5MsZnY68AiQzfaG2Ksjp3MIP9lzAfB0/CLWbT3bt6BHn3T+mjZKt6tEROq4NCvlN02bkpGVz8Cgw6S4WJpkDyL8hMz3wO3AIcAF7p4eNWY+sNDdf5uArAmhJlkREakJNckmRix3UP5EeM+bfd19g5n1LmfM18CecUkmIiIi9VYssw57Am+4+4ZKxiwHOtYsUmpYsmojpaWhoGOIiEiceelmvDipd1NJCbEUKI2ATTsY04wdb+SX8n5YuYGeVz7G/W/NCDqKiIjEWdEP51EwZ0DQMVJeLFM8y2CHPUFDCfeo1Gvd2jbnzjMPpMOe6xjJyKDjiIhIHHXpkM1eReexe9BBUlwsBcqbwDVmdoy7v1X2ZOQJn8HArfEKV1dlpKfxxxP2irw7KtAsIiISZ9rMuFbEUqCMBk4HXjOzZwlv7oeZnQscCJxNeAfiv1d4BREREZEqqHIPiruvBQ4FZgHnA8cQXgvlycj7OcAwd99Rn0rKWrspn3H/WRB0DBERSSAv3ULJ2udx1wKciRTTQm3uvhAYamb7AvsArYFc4At3/zgB+eqUxz+Yw5+e/4RPc8bRpnO97xUWEUlJu67/ht8snkjDzE6kNz8k6Dgpq9ICxcxGAN+4++zo4+4+FZiayGB10ZVHDWLv3h05uHPXoKOIiEiCeOuthBp8Qlqzg4OOktJ2NMXzFFBnVoUNWtNGDTh4NxUnIiKpzNIakN58GGYWdJSUpu1hREREJOmoQImDT+Yv5+YXPiUUUt+JiEiqcy9l6483Urr586CjpLSYmmSlfO98vYS/v/MVfsIHNGgUdBoREUmkrNIC/t+qv7EmbRV9svcJOk7KqnQ3YzMLAfdHXlXm7j/WMFeticduxqGQk19UTNNGDeKUSkREkpmXboa0ppiZdjNOkKrcQbk68qoqr+J1U0Zamqk4ERGpRyw9O+gIKa8qhcQmYGOig4iIiIhsU5UC5W/uflvCk9RBE7/8nrsnfslbN51EiyYNg44jIiK1pGjp7wDIynkg4CSpq15NxcTb1pIQq4s2cqePRr2xIiL1xxGhz+hEJ3KCDpLCVKDUwCn79uWUffsGHUNERGpbj5FBJ0h5WgdFREREko4KlGoqKtYuliIi9ZmHtgYdIaVVWqC4e5oaZH/t68WraHr233njq0VBRxERkQBs/ekv5M/sgJfmBR0lZakHpRp2apPNiIN2ZXOXRYzkuaDjiIhILeuWvZQDSw+jR5oekUgUFSjV0KZZY564/KjIu6MqHSsiIimoeeQlCaMeFBEREUk6KlBitHjVRpav3RR0DBERCZB7CaWbpwYdI6WpQInRb/46gdPumxR0DBERCVDJ2hcpnL8fpblTgo6SstSDEqOHLx7Gtw3mMJKRQUcREZGANGhZyPHdr6Vf9n5BR0lZKlBidOju3TiUbsCxQUcREZGgZADtgg6R2jTFIyIiIklHBUoVbcov4t43vmJTflHQUUREJGDuJRSv/Duhrb8EHSVlaYqnij6ev5w/PPMRRZ1+ZuuQb4KOIyIiAWpTsJrzl/2TZWhF8UQxdw86w3+Z2U3AX4GH3P3KyDEDbgUuAVoC04Ar3H1e1OeygDHAGUAj4APgcnf/aUffOWTIEJ8+fXqV8s1eupr+OZp0FBERCOXPxRrtTFpa5gx3HxJ0nlSTNFM8ZrY3cDEwu8ypG4DrgKuAocBqYLKZZUeNuR84iXCBcgDQDHjTzNLjmVHFiYiIbJPWeDfMNBGRKElRoJhZc+B54EJgQ9RxA34PjHb3Ce4+FzgXyAbOjPrshcD17j7Z3WcC5wD9gWG1+gsRERGRuEiKAgUYC4x39w/LHO8OdADe23bA3QuAT4B9I4cGA5llxiwHvo0aUyPj/rOAq554Px6XEhGRFOAeomjJpZSsfz3oKCkr8HtTZnYx0IvwXY+yOkR+XFXm+Cqgc9SYUmBtOWM6UA4zu4RwTwtdu3bdYcavFq1g/Ix5tLrgM8x2OFxERFJcupdw8YYX2ZRZGHSUlBVogWJmfYE7gAPcfWslQ8t28lo5x351+YrGuPtYwndtGDJkyA67hMecewhjzj1kR8NERKS+SAP2GBX5V/AzwWZJUUFP8ewDtAHmmlmJmZUABwGXR36+LjKu7J2Qdmy/q7ISSI9cp6IxIiIiUocEXaC8DuwODIx6TQdeivx8IeEC5PBtHzCzhoSf1Nm2jeQMoLjMmC7ALlFjREREpA4JdIrH3TcCG6OPmVkesD7yxA5mdj9ws5ktIFyw3AJsAV6IXCPXzJ4A7jGz1YTvutxH+HHlGne2Hj/6NTq0bMyjlx5Z00uJiEgKKVzwG6xhj6BjpKzAm2Sr4G7Ci689xPaF2o5w981RY64BSoBxbF+obYS7l9b0y7u1bUZe81XavVhERP7HsKw1tM3svOOBUi1JtZJsEGJZSVZERKQsM9NKsgkQdA+KiIiIyK+oQKnE+s0FFBWXBB1DRESSkJfm4SW5QcdIWSpQKuDu9LzyMS5/TCvIiojIrxUuPIGC+fsFHSNl1YUm2UCYGbeesi+e84saZEVE5Fd6t29J/9I9gHlBR0lJapJVk6yIiNSAmmQTQ1M8IiIiknRUoFTgk/nLWbZGzU8iIlK+UNFSSjd9GnSMlKUelHKEQs6w217mwL1bsP/vlwcdR0REktBxP46nz4bvg46RslSglCMtzfjgL6fRrW0zutIs6DgiIpKEQl3Pxzv8BOwfdJSUpAKlAgf06xJ0BBERSWJpWd0gq1vQMVKWelBEREQk6egOSjkefe8bOrVqynFDegUdRUREklTpli8pzZ0cdIyUpQKlHHdP/JKOXY0ZQ54LOoqIiCSpA9dPZsiqGUHHSFkqUMox8+5zycpMp6F+e0REpAK+0y3QMRdoE3SUlKS/gcvRvElW0BFERCTJmWVAZuugY6QsNcmKiIhI0lGBUsZdr03jkkfeDTqGiIgkuZKNb1O44MigY6QsTfGUsWJjHt+sXaodjEVEpFK7lMzmsKJvg46RslSglHH/+YcChwYdQ0REkl2byAsLOEhq0hSPiIiIJB0VKGW4e9ARRESkjtDfGYmjAiXKkx/MofmIB/hp3eago4iISJIrWfsi+dObBh0jZakHJUq/nVqz99BsHm58Lw2CDiMiIkmtXaMVHNtyb+DDoKOkJBUoUfbu04n3+lwQdAwREakLmgC9QE2yiaEpHhEREUk6KlCizFu+lq3FpUHHEBGROsA9RGnerKBjpCwVKBGLV21kt2v+xb2Tvgo6ioiI1AEla5+hcO7AoGOkLPWgROS0bc6DFx5GmyFrtIqsiIjsUKMW+QzvdgXwUNBRUpLV92e4hwwZ4tOnTw86hoiI1FFmNsPdhwSdI9VoikdERESSjgqUiC+/VQwsJQAADXFJREFUX8G73ywJOoaIiNQRXrqZ4lWPBh0jZakHJeKmFz5hzoqVXPb/27v7YKnqOo7j7w9XBVR8ihSz8KFMTDGtdCLTqERLrSY1MxMhMxqxTHvQSQ0ynXSkB50ySqeipNIaCzIjnxrEyUcUE6nUyltSAmGmIHB5+vbH79xYt/uwu3f3nrO7n9fMmb33d35n93u+s/ee757zO7/99nN5h2JmZk1gzH8e4z2dN+UdRstygZK5/pzjWNO1gVezc96hmJlZE4hdNrP5dfcDb8k7lJbkAiWz+87+PgUzM6ucNISOEePyDqNleQyKmZmZFY4LFGD5f17kI9fM4y/LPP7EzMwqs7nrabr+MjnvMFqWL/EAf1/5ArMX/IH9xnWxbtQjeYdjZmZN4FVdnZz87Oy8w2hZuU7UJuls4OPAXlnTEuCyiLglWy9gOjAF2Bm4Hzg7IpaUPMdQ4CvAh4DhwJ3A1IhYWkkM3RO1rd+wiW227qjLfpmZWXuIzesZ0jHUE7U1QN6XeJYCFwBvAN4E/BaYI+mgbP35wGeATwKHAiuA2yWNKHmOq4ATSQXKEcAOwK8kVVVtuDgxM7Nqacg2eYfQsnItUCJibkTMi4g/R8QTEXERsAoYl509ORe4IiJuiojHgEnACOBUAEk7Ah8FPhcRt0fEw8BE4CDgqDz2yczMzAYu7zMo/yOpQ9IpwPbAPcDewCjgtu4+EbEWWMCWm87fCGxd1udp4I9UcWP6+dfP54Qr5wx0F8zMrI1sXrOYNb8fk3cYLSv3QbKSxgL3AsOA1cD7I2KxpO4CY3nZJsuBPbKfRwGbgJU99BnVx2tOIY1rYfTo0Ww3dGteHP5vf4uxmZlVbBet5NiOVXmH0bJyL1CAx4GDgZ1IY0l+IGl8yfryUbzqoa1cn30i4lrgWkiDZKeffDhweHVRm5lZexsOHPhN0iHH6i33SzwRsT4bg7IwIj4PPAKcByzLupSfCdmVLWdVlgEdwMg++piZmVmTyb1A6cEQYCjwFKkAmdC9QtIw0p0692RNDwEbyvq8Eti/pI+ZmZk1mVwv8Ui6ArgFeJotd+eMB46LiJB0FXCRpD8BTwAXk8ap/BggIp6X9F1ghqQVwLPA14BHgTsGeXfMzMysTvIegzIKmJ09Pk8qLN4dEbdm668kXeW7hi0TtR0dEaWjks4DNgI3smWittMjYtOg7IGZmZnVXa4zyRZB90yyZmZmtZDkmWQboIhjUMzMzKzNuUAxMzOzwnGBYmZmZoXjAsXMzMwKxwWKmZmZFY4LFDMzMyscFyhmZmZWOC5QzMzMrHDafqI2SatI36hstRkJrMw7iCbnHA6M8zcwzt/A7RcRI/IOotXkPdV9ETzuGQBrJ2mh8zcwzuHAOH8D4/wNnCRPR94AvsRjZmZmheMCxczMzArHBQpcm3cATc75GzjncGCcv4Fx/gbOOWyAth8ka2ZmZsXjMyhmZmZWOC5QzMzMrHBavkCRNFXSU5LWSXpI0hH99B8r6S5JayX9Q9I0SRqseIummvxJGi9prqRnJK2R9KikMwYz3qKp9v1Xst2+klZJWt3oGIuuhr9hSTpX0p8kdWXvxysGK96iqSF/x0i6N3v/rcz+pl87WPEWiaQjJf0yOxaEpMkVbONjSJ20dIEi6YPA1cCXgUOAe4B5kkb30n8H4HZgOXAocA7wOeDTgxJwwVSbP+AtwGLgJOBAYCZwraRTByHcwqkhf93bbQPcACxoeJAFV2MOvwpMBS4A9geOpU1zWcP/wL2BucDdWf+jgOHArwcl4OLZHngM+BSwtr/OPobUWUS07ALcD1xX1vYkcHkv/c8CXgCGl7RdDPyDbEBxOy3V5q+X5/gpcFPe+9JM+QO+DnwfmAyszns/mimHwH7ABmD/vGMvwlJD/k4CNgEdJW1vBwIYmff+5JzL1cDkfvr4GFLHpWXPoGSfQt8I3Fa26jbSJ/2ejAPujojSSvlW4BXAXvWOschqzF9PdgCeq1dczaLW/Ek6Djie9MmrrdWYw/cBfwXeJemvkjol/UDSrg0MtZBqzN9CUoF3pqQOSSOAScCDEeHp8PvnY0gdtWyBQvp+iQ7SqbZSy4FRvWwzqpf+3evaSS35ewlJxwPvpD3nCKg6f5J2B64DJkbEqsaG1xRqeQ/uA+wJnEI6AzURGAPcLKmV/9/1pOr8RUQnMAG4BOgCngfGkopm65+PIXXUDn+w5RO9qIe2/vr31N4uqs1f6iQdDvwYOCciHmhEYE2imvzNBmZGxH2NDanpVJPDIcBQUpG3ICLuJhUph5HGBLSjivMnaRTwXeCHpHyNB1YBP23DAq9WPobUSSu/4VaSrqWWV6278v8VbrdlvfSnj21aVS35A0DSW4F5wLSImNmY8Aqvlvy9A5guaaOkjaQDxXbZ71MaF2ph1ZLDZ4CNEfFESduTwEagz8HJLaiW/J0NvBgR50fEoohYAJwGvI3qLu22Kx9D6qhlC5SIWA88RDpdWWoCaSR7T+4FjpA0rKz/P4HOesdYZDXmD0lHkoqTSyLiqsZFWGw15m8scHDJMo1058DBwM8aE2lx1ZjD3wFbSXp1Sds+pG9u/1vdgyywGvO3LamoKdX9e8seL+rIx5B6ynuUbiMX4IPAeuBM0u2GV5NGYu+Zrb8cuLOk/46kCvgG0m2yJ5BGZH8m731pkvyNB14EZpA+RXQvL897X5ohfz1sPxnfxVPte3AI6aB8F+k22UOyn+8DhuS9P02Qv3cAm4HpwL7AG4DfAH8Htst7f3LI3/Zs+cCwhvSh4WBgdC/58zGknvnPO4CG72CaD6GTNODrIeDIknWzgM6y/mNJcyasI50unk4b3x5WTf6y36OHpXOw4y7KUu37r2zbti9QaskhsDvpjNMqYAXwI2C3vPejifJ3CvBwVsj8C7gZeF3e+5FT7sb38j9tVh/58zGkTou/LNDMzMwKx9cUzczMrHBcoJiZmVnhuEAxMzOzwnGBYmZmZoXjAsXMzMwKxwWKmZmZFY4LFDMzMyscFyhmZmZWOC5QzMzMrHBcoJiZmVnhuEAxMzOzwnGBYmZmZoXjAsXMzMwKxwWKmZmZFY4LFDMzMyscFyhmZmZWOC5QzMzMrHBcoJiZmVnhuEAxayOStpH0pKRbco5jW0nLJF2fZxxmVlwuUMyajKQzJYWkeX30uSXrM7Vs1TnAa4BpJX3HZ30rXcaXbDs/a9skaWwvsczK+hzV3RYRa4DLgQ9LOqy2TJhZK1NE5B2DmVVJ0lzgvcAnIuKasnVnAd8C5kXEsSXt2wFLgQcj4uiS9r2Ayf285GHAu4HVwNiI6My2nQ+8Letza0S8q4dYZwGTgAkRcUdJ+zDgn8DC0njMzAC2yjsAM6vJx4BxwJWS7oiIxwEkvRb4CvAscEbZNqcCOwGzShuzYuOLvb2QpL2Bs4EATusuTsr8GThG0oSIuL2SHYiIdZJuBD4uad+IeLKS7cysPfgSj1kTiogVpCJlW2C2pK0kbQXMztqmRMSyss0+CqwH5lT6OpJ2AG4GRgIXRsTcXrpeSCpgZkiq5v/KDYD4/2LKzNqcCxSzJpUVC98D3kQaUzINOBSYFRE/L+0races38PZ+I9+ZYXGT4ADgNkRcUUf3ReRiqPXky7nVOoBYAMwoYptzKwNuEAxa27nAk+RzmBcCHSSBsKWGwd0AAureO4ZwLHAfaSzNf25CFgHXCpp20peICLWAkuAQySNqCI2M2txLlDMmlhErAK+RCo+OoCzsrZyo7PHZyp5XklnAJ8mDap9f0SsqyCWp4GrgD2ybSu1jPS/aI8qtjGzFucCxayJSRoOXFDS9IFeur4se3yuguc8ApgJrAHe28NYlr5cDvwLOF/SbhVu8+/scWQVr2NmLc4FillzuxIYA1wNPAKcIek9PfRbmz0O6+vJsjt2fg5sDZweEYuqCSYiXgAuAUbQx51BZYaXxWhm5gLFrFlJOpp0++9i0lmUiUAXcJ2k8rMRK7LHl9GLbAxI9x070yPiphpD+w7wBPAxSftX0L87phV99jKztuICxawJSdoF+D7pDpjTIqIrIh4DvgDsBny7bJNHs8cxvTxf6R07N0bEpbXGFhEbSQVTB+kMT3/2I83bsrTW1zSz1uMCxaw5zQReAVwcEY+WtH8VuBs4UdJpJe1LSGND3tzL880AjiPd5fORgQYXEXOyOI4HDu+tX3ZJaTdgfnhaazMr4ZlkzZqMpInAycACUkHyPxGxWdIk0hmTb0iaHxFLIyIk/QKYIumAiFhS8nwnseWum0XABZL6CmFORDxSQaifJd2i/Jo++nRPcV/r5SQza1EuUMyaiKTRwDeAF0iDWDeX94mIpySdB1wHfE/SMdnZiW8BU4DTeemdPweW/FzJfCedpAG5fYqIB7Kp7E/po9sk0pkdFyhm9hL+skCzNiLpVtJsr3tnk6TlGctBwO+BL0TEZXnGYmbF4zEoZu3ls6S7dKbmHQhpgrmllF2mMjMDFyhmbSUiFpO+mK/fmWEbKZsKfxEwMe8zOWZWTL7EY2ZmZoXjMyhmZmZWOC5QzMzMrHBcoJiZmVnhuEAxMzOzwnGBYmZmZoXjAsXMzMwK578ENFbHs1MgqgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, binplot\n",
    "import pycalphad.variables as v\n",
    "\n",
    "# Load database and choose the phases that will be considered\n",
    "db_alzn = Database('alzn_mey.tdb')\n",
    "my_phases_alzn = ['LIQUID', 'FCC_A1', 'HCP_A3']\n",
    "\n",
    "# Create a matplotlib Figure object and get the active Axes\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "axes = fig.gca()\n",
    "\n",
    "# Compute the phase diagram and plot it on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n",
    "binplot(db_alzn, ['AL', 'ZN', 'VA'] , my_phases_alzn, {v.X('ZN'):(0,1,0.02), v.T: (300, 1000, 10), v.P:101325, v.N: 1}, plot_kwargs={'ax': axes})\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Al-Mg (Y. Zhong, 2005)\n",
    "\n",
    "Y. Zhong, M. Yang, Z.-K. Liu, CALPHAD 29 (2005) 303-311 doi:[10.1016/j.calphad.2005.08.004](https://doi.org/10.1016/j.calphad.2005.08.004)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, binplot\n",
    "import pycalphad.variables as v\n",
    "\n",
    "# Load database \n",
    "dbf = Database('Al-Mg_Zhong.tdb')\n",
    "# Define the components\n",
    "comps = ['AL', 'MG', 'VA']\n",
    "# Get all possible phases programmatically\n",
    "phases = dbf.phases.keys()\n",
    "\n",
    "# Plot the phase diagram, if no axes are supplied, a new figure with axes will be created automatically\n",
    "binplot(dbf, comps, phases, {v.N: 1, v.P:101325, v.T: (300, 1000, 10), v.X('MG'):(0, 1, 0.02)})\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Al-Ni (Dupin, 2001)\n",
    "\n",
    "Components and conditions can also be stored as variables and passed to binplot.\n",
    "\n",
    "N. Dupin, I. Ansara, B. Sundman, CALPHAD 25(2) (2001) 279-298 doi:[10.1016/S0364-5916(01)00049-9](https://doi.org/10.1016/S0364-5916(01)00049-9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAGgCAYAAABSVpb1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdd3RU1RbA4d+Zkh4SUugdpCPSi1QVOzYsD+EJdp+KDSyoCKLYO6KioAiCAioWRAQURBFRQEBaKCH09N4mU877Y4IGSEgm01L2t1YWzL3nnrsHY7Jn31OU1hohhBBCiOrO4O8AhBBCCCE8QZIaIYQQQtQIktQIIYQQokaQpEYIIYQQNYIkNUIIIYSoESSpEUIIIUSNIEmNEEIIIWoESWqEqEWUUk8opXTxV7sy2owtPj/HA/c7ca+DSqmgMtokFLcxlXatuzEIIWoPSWqEqCWUUgq4FTiRKNzuw9s3Ax7w4f2EELWQJDVC1B4XAi2Bj4EkYIxSKsAH980A0oGJSqkYH9xPCFFLSVIjRO1xojLzATAfiAGu9sF984FngDrAZB/cTwhRS0lSI0QtoJSqD1wB7NFa/wZ8VHzqDh+FMAPYD9yplGrro3sKIWoZSWqEqB1uBszAHACt9XZgMzBUKdXG2zfXWluBx4pjeMHb9xNC1E6S1AhRwxUPEL4NcABzS5yaA5w453Va68+B9cDVSqkBvrinEKJ2MZXfRAhRzZ0HtAZ+0FofLXF8AfAKMFYpNam4mlJhSqkWwNhTj2utp5zhsvHAb8CrSqm+WmuZsi2E8BhJaoSo+U6Mm5lT8qDWOk0p9S0wArgS+NzFfltQ+sDfKWVdoLVer5T6HLgWuB5Y6OI9hRCiTPL4SYgaTCkVC1xV/PLTEovhnVjYbkTxOZcHDGut12it1alfFbj0McAKPO+jKeVCiFpCKjVC1GxjgABgE7CljDZXABcopVpqrQ94OyCt9X6l1DvA/cA4b99PCFF7SFIjRM12YhDw3VrrP0proJR6BniyuO0TPoprKs6E6wmcA5iFEMJtSsbpCVEzKaWGAKuBv7XWZ5+hXQsgHkjEuZ3BaJzr2OwHfi3jss1a67cqEIMGjmqtm5Ry7mHgpRKHzFpr2ynXUsFHWkIIIZUaIWqwEysIzzpTI611glJqFTAMGF7iVOvir9JEAuUmNeV4C7gb54BjIYRwm1RqhBBCCFEjyOwnIYQQQtQIktQIIYQQokaQpEYIIYQQNYIkNUIIIYSoESSpEUIIIUSN4Ncp3UqpicA1QDvAAvwOTNRaby/RRuHcX+YOoC6wAbhHa72jRJtAnBvzjQSCgR9xLjZ2pESbujinkF5RfOgbYJzWOrO8OGNiYnSLFi0q/0aFEELUWps2bUrVWsf6O47awN/r1AwB3gH+BBTOVUZXKaU6aq3Ti9s8gnNn37FAHPAUsFIp1U5rnVPc5g2cG/KNBNKA14ClSqkeWmt7cZsFOBcWuwTQONfumMfJ63KUqkWLFmzcuNG9dyqEEKJWUkod9HcMtUWVWqdGKRUGZAFXaa2/La7SHAPe1lpPK24TDCQDE7TWM5VSEUAKcLPWen5xm6bAQeASrfUPSqkOwE5ggNZ6XXGbAcAvQHutddyZ4urZs6eWpEYIIURlKKU2aa17+juO2qCqjakJxxlTRvHrlkADYMWJBlrrAmAt0L/4UA/AfEqbw8CuEm36AbnAbyXutQ7IK9FGCCGEENVYVUtq3sS5k/D64tcNiv9MOqVdUolzDQA7kFpOmxRdoixV/PfkEm1OopS6Qym1USm1MSUlpRJvRQghhBC+VGWSGqXUa8AAYESJcTAnnPqMTJVy7LQuT2lTWvsy+9Fav6+17qm17hkbK+O7hBBCiKquSiQ1SqnXcQ7yPU9rHV/iVGLxn6dWU+rxb/UmETACMeW0qVc8RufEPRUQy+lVICGEEEJUQ35PapRSbwI34kxodp9y+gDOhGRYifZBwED+HR+zCbCe0qYJ0KFEm/VAGM6xNSf0A0I5eZyNEEIIIaopf69TMwP4L3AVkKGUOlGRydVa52qttVLqDeAJpdRuYA/wJM5BvwsAtNZZSqnZwMtKqWT+ndK9DVhV3GaXUmo5MFMpdTvOx04zgaXlzXwSQgghRPXg73Vq7i7+88dTjj8NTCn++0s4F9Sbwb+L711YYo0agAcBG7CQfxffu+mUsTmjcC6+d2KW1DfAvR55F0IIIYTwuyq1Tk1VJevUCCGEqCxZp8Z3/D6mRgghhBDCEySpEUIIIUSNIEmNEAKr1cavK7ZSZLGesZ222Uj+9Bvsefk+ikwIISrO3wOFhRBVwNYN+3jjqUVc/NzZHDlvV5ntIn85TvcbV+CYcytDxjzpwwiFEKJ8ktQIUcts3bCPQ/FJDB957j/HuvVry5NvjKVLz1YYMZ52TfqKteTv3Efj+yeTsXwtkUP7ndamNDkbt5H+3WqaTRqHMlS8MKy15ouP1nB279a07dyswtcJIWo3SWqEqGXW/rCFDb9tZ9PIlf8eNAJ94asyrunwyS80WJ5CkwduIeqiwRW+V9o3qzj48nvMG5eILSqwwtfZ8zW759qIy9vLE53vqPB1QojaTaZ0V4BM6RbVlcPh4I1Ji+gxoB2DL+kGOMfPFBVaCQ0PLvf6+AnTMEaE0/TRu3DkF2KKrOPS/bXdTurXK0mctZAOn76JKaLi1+dk5RMSGojRZMRSaOX1Jz/jgqt60XNAe5diEMLfZEq370ilRogazOHQHElIRrcrYDVfOw+ai78qoMven4iJak7zgPswBAS4fH9lNKItRaTv/JsXC6dhjSg/kfpHxL9/tds0+xNshKcqeiJJjRCidJLUCFHDvPrEpxQVWpn46k2YTEZem3+fy31s7nUldfp1o83Xa92Op97IKyg6nkxQ34/puf0HjKEhrncSBnz+78v3nl/CkYQUnp0pj6aEEP+SpEaIGmDP9kO06dgEg8FAizYN2Gfdz5R/dhqpuOC4LKyxgbTqY6FRR00bD8UX1KoZhT0a8ELe01hDXajWlCG1lZ36wU0AKMi3YLc5CKvjfr9CiOpNxtRUgIypEVXZbz9u57UnPmXIpd2496lr3eprraEVgS0a0yf+Fw9F969tF4ym6HgyPXesKL+xC6be9xFpSVm8ufABj/YrhKfImBrfkUqNENWQtcjGX7/voce57enSsxUdu7Ug7cp4hjCkUv01W1dIVlMTw24Ipm6fVvTxbLgANL5/LH///jXPHXuEokaVeARVhuzrHXTIcY6z2fbnfpq1qk9kdJjH+hdCVB9SqakAqdSIqmbt91t46+nFPPXWzZzd272HRFprfg1qT8yIi+mw4E0PRXg6e0Eh68I60eDW62n7/vMe7z8nK5+bL5rGZTf05+YHL/N4/0JUllRqfEcqNUJUEzlZ+SxbtJ7LbuhP3/M6sTcoji96zONLVKX7bPz2LnJ6xmBYOZRzmg2kgwfjPZUxOIgOi2ew89clLMx6HHuE67OpzigCWrxppF4bE/t3H2XnXwknLTAohKj5JKkRoprYu+Mwi2f/xB+dfya8nwGGgnIjoVFWB60f24xx1LkMnjnHc4Ge6Z5KoV5fQfjwC8kc2tDj/Yf1MfAn6/lm3q9kLoFhV/UiKNjDyZMQosqSx08VII+fhL8UFhTx9jNfcPGIPnTu0YrkYxnUa1TXrT61zUbczQ8Tc83F1OnXHVNkHQxBFV/t110Hp83AlpJG6zee8to9rEU2crLysdvszH51Kf8ddzGNm8d67X5CnIk8fvIdqdQIUYVZCorY9dcBQvo6+LzHXGjkfp8Gq42+a1eS2MnEkKsvcr9DFxUdS+TYhl+Zh8N7NwkAYqFgt+bAVhtN00IZ1fwa791PCFElSKWmAqRSI3zttSc+w2Q2ct+U6zzWpzU9k7/6XE2zJ++lwZgRHuvXVbasbP7qfRVNHr6Dhrf9xyf3zMnKZ+Kt73HdrUP/2S5CCF+RSo3vSKVGiCokOzOPOpGhxDaM5KjpSKUW0CuNObUQR5CRTmdZyY85QgOP9Fo5ymwmqHVz4oLimemh91ceu0mT28ROQsR+ume1IzQ8CIMLu4YLIaoHSWqEqCJ+/GYjM1/4ilfn38d/773YY/3mbt3J5u7DaffxK9RfNs1j/VaWMSSYiEG9ybz1DR6/4FcCGvhgrEso8IazYnPnFS9y1X8Hcf1t53v/vkIIn5KkRgg/i487RmRUGB3PaUHXkc34oMEMDG7MajpBFdmJXJtEdu8YWj7YHse5Nup7IF5PiLp4MAf2rueVohcpwncL5ekwTcSNDvS5uezYfIBW7RsRHOK7QdJCCO+SMTUVIGNqhDfdOHgKPQa0Y/y0kR7tN2nuF8SNmUCXH+dT97z+Hu3bE34N7UjUpUPouPgdn9/72KFU7rv+dUbeNYwRY4f4/P6idpExNb4jlRoh/CAtOYt1K//m0hv68ehLo4lvEOex8TMhOzOp+3Mix29qzSDD7UQM7OWRfj2t7ewX2bl5GYuLJqEDjL69eTNo+owRc6d8vpq3lmFX9yY0LMi3MQghPE6SGiH84I+1u5g7/Xt+67OSoD7uP2oqqeFH+2j2xm7G3vAe5tGRHu3bk2xZORheXk7oyMvJ7Rbt8/tHDDPw82+/c3CGnfTmidwy6HqfxyCE8CxJaoTwoc8/XE1YnWAuvLo3XXq0oknLeh7r+8jrs9E2G42mfk7RXUmYo6puQgPQ8Pb/kLd1F6M2daJhN99M7T5Nfzi8IInM9FzemfYltz9yBWaz/FgUorqS/3uF8KHN6/dgjy3k92uXQ0vP9n32ylVEF0XQ9OE7CW7d3LOde4EyGMjZsIVj2fuYedtu/wXSClI32Mn42cBN4y6RpEaIakwGCleADBQW7jiakMKLj37C3U9cQ7suzVDKc4+bbNk5bB38H5o8dCv1/1v9VszN+Pl39t31JJ2/nUVwmxZ+jUVrzfSpnxMYZObOR6/yayyiZpGBwr4jH0mE8BKHw4G1yI7JbCQ0LJhtAVv5TH3ksf6NuVa0EbpGppMTvL/KTNd2hTEokPwIzZvqLQqp499gFBwLtdM8sCkF+RaZ6i1ENSSVmgqQSo2ojFmvfMNvP25n1nePeXz12uMffMq+e6fQc9dKgls182jfvrax80WEtGtFxy/e9XcogLOy9tCot/jfE9cw5FLZUkG4Tyo1viOVGiE87ND+JOrGhNO9fzvS6iQz1TDVY30H78vGHmzE3LeI3ncM9M1qvF5Wf8w17M/fzSIfbZlQHnusJuIqON70IAf3NaR5G39uKiGEcIUkNUJ4kM1m55ExMxh4UVfumTSC7v3bebT/DcMGEtSiCV1XfwrTPdq135giwjE88hUPXfQldfpWgcpIKPAwvDvtSx79/h3m/fQU5gD5USlEdSD/pwrhAXm5haxdvoXzh/fgganXc6xlgscW0zNlFlF/fjzHbz2LiPc70LVOH4/0W1XEXHspcVtXMYsPyMZzU9zdZRmtuaBfJ35ZsZVO3VpSv3GUv0MSQpRDkhohPGDzujhmv/ItP7ZYRth5nh0/E730MO3u3cB1He8nclg/j/ZdFZijIglctJUeR5qx+uuqk9QENlckhO9k+eXb6H5jCx6/93Z/hySEKIckNUK44ZcftpJ8PIOrbxpEw6bRtOnYxGN9H3x2OsFntST2xqfIbfc34b26eqzvqqbtRy+Rsug7JuU9gjE0xN/h/CsKDs1LIvFoGh+/9T03jbvYo1PyhRCe5fekRik1CJgA9AAaATdrreeUOF/W9Kx3tNb3FLdZAww+5fxCrfU/y5QqpeoCbwFXFB/6Bhintc70wNsQtdSmdbvZsWc/f49dAx0923ffuUsI7tuZejdcXqMTGgBrchpJi77lq6cVhS3D/R3OyVpD4g92cr8zMvLOCwgINPs7IiFEGfw+pVspdSkwANgMzAXuPiWpOXXqQU/gW2CI1vrn4jZrgHjg8RLtCrTWWSX6+R5oBtwOaGAWEK+1Hl5ejDKlW5RUWFDEs/fP4eJr+9D/gi44HBqTyTMbMibN/YLE2Yvo8sNcMBpQRiPKw9PBqyKtNX9f+F+ir7iAxuPG+juc02ityUjN4aVH53PdrUPpcW57f4ckqhGZ0u07fq/UaK2XAcsAlFJzSjmfWPK1UupKYM+JhKaE/FPblrimA3AxMEBr/VvxsTuBX5RS7bTWcW6/EVEr2G12tNbY7Q52OHayyrAEPJBzKJsDbTLQ0L6X9tY0tNYYzbWoIqA12u5gb9FuPqgiU7tPosBm1hyx2dhq30Y3R1uPrz0khHCf3ys1JSmlcoF7S1ZqTjkfBhwHntZav1Li+Bqgc/HLJOD74jY5xedvAd4E6ujiN6ycD8ZzcD6COuMyr1KpEQArlvzBx28u461FDxJdL8Jj/WZv+IutA66n87IPqTtsoMf6rW4OvzyTQ8/OoPeBtVV6M85XJi4g+XgGL825x9+hiGpCKjW+4/dKjYtuBAKBj085vgA4CBwDOgHPA12BYcXnGwApukQGp7XWSqnk4nOnUUrdAdwB0KxZ9V6xVbgn5XgGgcEBtGzbkNbDYnmzzmsYcH+waMiuTApbhGFqVkTrG5tjb5PIEPfDrbbCe3fFdkkHXjC+hJ0Af4dTpvR+Dpqlt+DAnmO0bNvI3+EIIUqobknN7cBXWuuUkge11u+XePm3Uioe2KCU6q613nyiWSn9qTKOn+jzfXBWatyOXFRbT9wxk2atG/DkG2OZ2skzn86LElP4vXNfmj56Fy2fe/j0NL0WCul4FmrxRkY170arFx/zdzhluwLWfLeZh2+awTPv3U6Hc1r4OyIhRLFqk9Qopc7BOUj48fLaAhsBO3AWzgHIiUA9pZQ65fFTLM7HVUKcpCDPwvrV2xl4UVduHT+c+Ki9HllML+brQ+R1iKCgbQSN3umN4/xmtHQ/3BohIDaa5k8/wIGYVOZWxXE1JdgGaAY80Ja0pCySjqVTv5EszCdEVVBtkhqcj4ISgFUVaNsFMOIcfwOwHggD+gG/FR/rh3NB9N9Ou1rUen+u3cU7z37JsnpfEzbEMwNCldVB52vXoEafy+CPXoc7PdJtjVKwNwE19WvUbTeiTVV3IK4pQpE2PJ43hu2hyzVNmTzhLn+HJISgCiQ1xYN/2xS/NADNiqsy6VrrQ8VtQoBRwEv6lJHNSqnWxeeWAak4Vwt5FfgLWAegtd6llFoOzFRK3Y7zsdNMYGl1m/lk02kkFz1NjHkCAYZmfPHRalq1b0y3fm39HVqNsPzz3wkND+bcYV2Irh9Bx24tUG6On0mY8gYRg3pT97z+5P75HwKbyAaJZWnx9INom52H995ESIc25V/gT6Gw/8OjJOw5zrJF67n0+pq32rMQ1Y3fkxqcj5RWl3j9dPHXx8DY4mM34KyqlDZLqQg4H7gfZzXmMPAdztlP9hLtRuFcfG9F8etvgHs98g58yOLYQ5r1bQ4Y67FCWdm90Eb7IZLUeMqqr/9Ex1j58aIl0N39/pTFzoA3F2HK2sXg8/oTdo6HV+irYRxFRaQu+o6koXVZ06EaDGVrDwc/tGE6FCJJjRBVQJWa0l1VVbUp3XadiVE5p7wW5FsICDRjNFbdUn1Vt3NLAp/NXMmDz/6HkNAgDEaF2Vz5fN+Wmc2Oa+6i6SN3EnXxYGw5uRhDglFGzyzQV9MdeOJlrMlptP3gBX+HUiFWq41tG/bxzYJfmfD8jYRHVKFtHkSVIFO6facqVGqEi04kNADBIYF+jKRmsBQUcTQliZetrxAQ5P5UbbO1kO7Hd5KRvYEhDMYUHuaBKGsPR14Bx5PiWFDFBwv/wwzZdgfZqYHYbPby2wshvEYqNRVQ1So1npZrW0VC4ZW0Dv6FYOPJz1xSEjMZP+otbptwBYMuOcdPEXpeYUER9177Kpfd0J+rbzp12zDXpX27il0j76fbH18R2vEsD0RYe2Vv+Itt542i87IPiRzc19/hVNjxQ6k8PHYG9z45gr7ndS7/AlFrSKXGd6RSIzAbmlJo7Mmb6hMK+eakcyrMQmBfzbGmB4HSk5rjh1Kp3ySqWiwbn5tdgN3uICw8iG792pLVOrnSU7VN6RaUQ2ONCSK0RQa9L+mIOaauZwOuhQIa1iPyvH5sCd/NGpb7O5wKs0VoAvrZiQvezTkFbQkKrroLCApRU0mlpgJqeqXmTBIKrqDAsZkOoUdKPR+/+yiPjH2HOx+7imFX9fJxdK576n+zyM7I5Y3PHnC7ry3nXos9N48eW7/3QGSipI2dL8IUFcE5axf5OxSXOBwObjr/GfoO7cS9T13r73BEFSGVGt+RSo04oxjzQ2zTK0+rZjSy7STF2BJLyyDq/8+ApX/aaddmpOWwf+cReg7s4KNoS5ealMmh/Ul079+Oq28axKaCvypVnTEU2on56hApI5qjzQain4iki0VmvHhD08fuYteOVUxxTAaD++OcfMYAUQ84MAcUsWf7Ydp2burviISoVaRSUwG1uVJTmkLHTvbmdyIv4A6WBzQss13idDup8x3M+m4ikdH+Gyz7wUtfs+KrP2i/yoQxpPK/IOstSqDzDT/Taelsoi87z4MRilMde28++/73JBt/u4TsfvX8HY7L9t9mIyArmNmLn/B3KKIKkEqN70hSUwGS1Jwux7aSEGNfjCocAKvjOGnWN4kNeBSjco4rycnK5+C+RDr3aHXStX+u3UVWRi4XXOm9x1UJe4+zYc1Orr1lKLlZ+Rw7lOryHj1aaw4/N4PIYQOo0/scHFYrmavWUffCgTI928vsBYXEP/QM0VdfRNSFg/wdjsuOHUpl384jpCZlcfVNg3DuyiJqK0lqfEceP4lKCTcNO+l1vmMDKdYXWWxKIs3Y3HkwAugBn59y7cGvbRgOBXs1qdn4y26++Hg1265ZizlaQSW25jHmFDFg2iIM2TsZ3PsdDGYzUZcM8Xis4nTG4CBSP1/OsdwDrL7wJ3+H47pmcHyJnawlcOn1/WTQsBA+IpWaCpBKTcVYHccxG5yPoxy6kMOFI6lrvoU6puEntbMUWrHZ7ISGBf1zbN3Kbfy+ZgcPPH09RlPlqiC/rtzGhjU7eGDqDQDkZuUTEeXaY6/dY8YTMbAXDW/7j/M9paZjiqyDMkn+72spny8j8aPP6bhwOsawUH+H4zKbzc7ff+7ju4XrGffUtS5/L4qaQyo1viM/qYXHnEhoADRFFDq2sUOv5gc2ndwwiNOkJNmx7AvC4dBU9sFOWlIWu/cd4Gn70xgCKled6bVtDWFNi2iIM6kxx8juy/5iz80nfcc2nrc8gy2slG+aqs4E2TYHaftNFBYWEeHveISoBaRSUwFSqXFfoX0H8YVDaRa4gDDTBRW65pGxM+jUrSVj7r+0zDbPjZ9LSGjgP9UZV1gzstjc9VKaPXkPDe+40eXrhXfZ8wvYdPYlNPrfKJqMv93f4VRawt7jTL3vI8ZPG0mn7i39HY7wA6nU+I5UaoRPGFUkIYZe/KUO8rN+DI0BuzrzOIOMDnZymoZh0ymYVCwAVsdRzIbG/7Rp0aYBx4KPVnyKtt1BQIqFogbBGIJsdOxloqBZGmXP4RL+oswmwrp3Yl9UIrOqy5YJpSgK0zja29nCX3RwNK8Wi1QKUV1JpaYCpFLjWXvzz8aoYmgVXP4A0GOW+8iwfkiH0FQKHX+zv6A3TQI/oa55VKXuffCZtzj0zNv0ObyOgPqxlepD+M7+B5/h+Puf0i9lE8aQYH+HU2nJxzK497rXGH33RVwxaoC/wxE+JpUa35FKjfApq+M44cYriDcGMrcCn76bqwN0NF+FQQURaOhAjHkCu9jBikp+cg+9KoNeOReQv2u/JDXVQOx/Ludw7j6et0zFVo03b9X1NDE3w7GoQ2SkZlM3po6/QxKiRpKkRvhUUtFkMmyz6RuQS3/K/+S9oyiCMONQAIwqDKOKINwyiYnGOAINbV0PoAvEpT3KtgtGMyBvB4bA6vuLsjYwx0ZjmLWW0Y3vp8UU97e28BsTWEYX8d/zpsLwYO6aeLW/IxKiRpLHTxUgj588w6ZTSS56ngPGuqw02cptb9IWzrYsp67pNgaa7inuI51NRQ/wtyGfI+bK7YQceDiPfp+baBfe9Z+p26LqOvTiu8SbD7LmoWo4A+oUuX84aLyvNcPaDTxtUUpRc8njJ9+REWvCZ/Lsv5BmfY0t7KlQ+whHIi1tWzDqpH+OmVQUsY6j9Cj6s9JxWJqGkvznBvY88myl+xC+k799D2rqN+U3rAbCehvYMH8Pcxd/6+9QhKiRpFJTAVKpcZ/WVo5YbiHEMITogFsrdE22bSnp1lk0D1qMUuZ/jlsdKRyz3E2U+RbCTZdUKh57Xj5H3/kEa2IyrV99slJ9CN8oPJrIvjsep9nk+6jT+xx/h+O2rPRcli5cR1h4CFeOHujvcIQPSKXGd2RMjfAJB4Xk2n/iqCGc6Ryu0DVtHevo6NhCM4pQ/JvUGFQg+Y51HHfUZzkbKhdQKLTbv55GG4tojSQ1VZkuspL92yY2J6xgTe+v/B2O+6IgYbeN+iGxXIkkNUJ4klRqKkAqNe47UngzDvJoFrSowtccLLgGo4qhSdD7p53Lti3lmOU+WgWvIcDQrNJx7bv/aQri4umy/ONK9yG8L37CNHK37OLsVZ/4OxSPmfniV2Sm5fLoS6P9HYrwMqnU+I5UaoTXaa0xqmiOkceHLkzF7qYO0UCF06SUc0YVSb6qw2u8RiGRlY6tecO/aZUXij0vH2NoSKX7Ed4V0LAeGYnbK77IYjWQHGOnvqERBfkWgqvxdHUhqhKp1FSAVGrck1L0CklFT9AuJP6k1YDPxOo4Qlx+K+oHvEBswEOlttmf3x8w0TpkrVvxbb/iNgr3HaTnzpVu9SO8J3fLTjb3GE77ea9R78Yr/R2Ox7w+aSFxfx/iva8e9ncowoukUuM7UqkRXmcgknzzVTyn3qOi21UaKKKnsS0ZxjqUtUReXdPt7NUr+URPQqvKboMJsTfZ6LS7C3k79xLa8axK9yO8J6hVU+rffB07ow/xTg2q1mQPc9C6RXPi447Rql0jf4cjRLUnlZoKkEpN5eXbN7K/oBcNA6YTE3Bvha9Lt37AUcsdtAr+lVDjuaW2ybOvJb5gMI0DZxNlvrFwmXEAACAASURBVMWtOLcOHUlh/CH6HFznVj/Ce7ZdMJr83fvpe2S9v0PxqDeeWsSGNTtY8PMUlFL+Dkd4gVRqfEeSmgqQpKbyMq2LKXRsJS6gL6tVxf8No20J9LGl0StwCUqVXlDU2kZS0VTilYUVAe7tCxS2JZ2eP4fTudkgYq6+yK2+hHdk/7GVzR+9ybqp9bDGVv+F+E6wHNI0/KM1nQI6cv4V8nuvJpKkxndk8T3hVYlF4znqWOFSQgPQ0raFINsqzvQtqpQJi2MbodbTZ0e5KvecKDKXrmbH+Elu9yW8Q9tsGN5bzbnfhfk7FI8KbKbYvn8vM1/+Ckuh1d/hCFGtSaWmAqRSUzk5tuVkWhfQIPBVzAbXNo88bnkSowqlXsDEM7YrchzkuOUh6gVMItjo3sJs1rQMEmcvxGEpovmk+9zqS3hHwtNvgkPT4ulqvA9UKQoLilj/43b27DjEbROuwGiUz5s1iVRqfKfCA4WVUv2AYcAgoBkQAxQAycAWYDWwVGud7oU4RTWU7/iDdPs3zFFNsZdYPK8ihto/ItTQlnqcOanR2Mixf89RR0dWGN1cmC0aOm36mXoHlCQ1VVRBXDzJcVuZ83Smv0PxrGBITraT/ZORm8ZdIlO8haikM1ZqlFIBwB3A/4D2QMlRbNlAEBBQ/FoDFmAx8JrWeqs3AvYHqdS4zuLYw8GCq2gU+D5hpgEuXWvX2ezPH0xswATqmkeV2/544eNY9HZaBHtmf6B9Dz6D9VgSHRa+7ZH+hOcUHDjM9stu4ax3niFySF9/h+NxP327ieVf/M7Ud28nKDig/AtEtSCVGt8ps1KjlLoOeBFoARwCXgXWAX8CSVpre3G7MJwJT1/gImAkMEop9THwhNY60ZtvQFRNWtsxqFD+Utv5kVUuXWukiAEqjVS1j/4VaW8IIdWewxwPTfVtFbKZ5sF1aFdUhCFAfrFUJcpowBQWyhb9F2tY7u9wPC4z0IEOqUORxSpJjRCVUGalRinlAFYBz2utV1e4Q6VigduA8cBbWuupngjUn6RS47q4vNaEGPvTNGiey9fm2tZwoPB8WgatJMx0Xrnt8+0b2F/Qn+ZBX1PHdHllwj3N9stvpSgxhe4ba8bu0DXJrpH3kbt5O73ifvJ3KF6xZO5avvhoNe8smUCdyFB/hyM8QCo1vnOmMTWDtda/uNqh1joFeF4p9TbQstKRiWrLrrMIN15GgimK2ZWonoSqdLoY25JhSGNQBdoHGFoRYbqBbRxklYeqNQ2utdD+YCsKE44Q1KK0jRqEv0RfdSFJUXk8XTQJHVD5RRerqvxuDtokNSTpaLokNUK4yOOzn5RS0VrrNI926mdSqXHNUcs9pFtn0jE0E6NyffptkmUyydaptAs5WOHNKuPy2mFSMbQO8dzieX/1vRp7Th49d6zwWJ/CfblbdrK522W0fmsyjceN9Xc4XvHpeyv58uOfee/rh4muF+HvcISbpFLjO+UNFB6tta7wtrhKqUhgtda6myeCqyokqak4hy4ipeg54g25/GCu3Hoi9a176WEvoHfQlxW+JtO6kDjHV3wf0BY8tCprxK9JdNsQwTk9ryJycM0blFpdabudg1PeIKF1AWvG2vwdjlcUJWpif2xJ14gunHd5D3+HI9wkSY3vlLcYwmyl1IUV6ah4wPAPwNmuBKCUGqSU+kYpdVQppZVSY085P6f4eMmv309pE6iUmq6USlVK5RX31+SUNnWVUvOUUlnFX/OKkzDhQQWODSRbn4YK7vFUmla2TQTafnTpGqs+RIj1M8I9WCTMGlCfvHkr2PrQYx7rU7hPGY3kx8Wjxs33dyheE9BAsSd3P+9M+5K05Cx/hyNEtVHeOjX5wGKl1Pla6zJLFUqpEGAZ0AvnlG5XhAHbgbnFX6VZBfy3xOuiU86/AVyJc+ZVGvAasFQp1ePELC1gAc71dS7BOf18FjAPGO5ivOIM8u2/U888hc6mJ+lXycQmyWBAGVyb+VHXdBcFjk3cpW8ktEJzpiqm8Ns7SJy1kMQ5n9Ng7LUe61e4p9VrT6LMJsZvGkF4jy7+DscrLGOK+K3Jdr6a9ws33XcxZrPsPyxEecr7v+RKYDnOBGGA1nrfqQ2UUoHAN8AA4FvgRlcC0Fovw5kQoZSaU0YzS1lTw5VSEcCtwM1a65XFx/4LHAQuAH5QSnUALgYGaK1/K25zJ/CLUqqd1jrOlZhF2TJt88hSdXlXVX6s1nn29wlVLamHCxUSZSHHtpRjhkiWGz04BqYp9PxuKeGNmkpSU4UopUj78geS+tdhTY8v/B2OdwRBaqadtKWKa28ZSkRdSWqEKM8Z/y/RWq9VSo0CFuFMDvpprZNPnFdKmYEvgPOAlcC1JSojnjRAKZUMZAI/41z/5kQcPQAz8M9vMq31YaXULqA/zkdi/YBc4LcSfa4D8orbSFLjAZnWRSgdzjlB39CTyg1u1NpKPGuJNP7HpetMKoYo011EODKY4qEZUCc41j/B7hsf4OCz02n+5DiP9i0qJ7BxA1q+PJG0r1Yy+c45KFMN/YU/CtZGbeGViQt44vUxsnaNEOUo9yeB1nqJUupe4F1guVJqsNY6RyllBD4DLgXWAldqrb2xG9ty4EvgAM6FAJ8Ffip+tGQBGgB2IPWU65KKz1H8Z4ouMSpaa62LE6UGlEIpdQfO1ZRp1qxiM3BqO42FHJXGC+oFbFRumXeFnUHsI1ntop+r91d2Eh0HmeXhpAYzdCn6m5hCI80927NwU0ZBMlOZiq7Be/NmKgdFllBsVju4txm9EDVehT7eaK1nKqXqA1OAr5RSlwEfAVcDvwOXaa0LvRGg1vqzEi//Vkptwvlo6TKcyU5ZFM6xM/90VYE2Je/7PvA+OGc/uRJzbVTkOMRRy500D3ybJ9Utle9Hx7PH8QqN6e7ytcGGbgRZZ/K44wMCDJ5dIkkveYoNTfuzP/9ZWr/2pEf7FpVT/6ZrOPjU69z8Un2aPX6Pv8PxnothSfJa7hnxCu98OYHQcMlshChLhWu2WuupSqmGwJ3APqARzo0sL9Fa53kpvtLiOKaUOgKcVXwoEedUmxggpUTTejgrSCfa1FNKqRPVGqWUAmJxVnSEu7SdOsbh7DBY+dGNSolJWehlbEaGoZCBLl4bZOiMxdidl3kXKyGVjqFUBmhzQzSFrQppUVCIMTjIs/0LlxlDgom59hLiG6Tzoaerc1VMbkcHzYbUJz0lW5IaIc7A1QfRd+NMHkYAO4ALtNY+nW+olIoBGgPHiw9tAqw4dxBfUNymCdCBf8fQrMc5y6pfiWP9gFBOHmcjKumwZRR2shloXOhyMlJSlv0rDtlfoLlu5PK1BhVKgH0dd9iuIjZgghtRlM76ZCbr6/Xk4MEQWr38uMf7F65RJhMB9WMw3P4OEy9ZT2DDev4OyXt6wpxflzHhv2/z4fLHJbERogxnTGqUUttKORyA85FNHWCNOn2hM6217lrRAIrXt2lT/NIANFNKnQOkF39NwTkY+TjOMTXPA8nAkuKbZSmlZgMvF4+ROTGlexvOqeBorXcppZYDM5VSt+N87DQTWCozn9xn15mEGAcSb6jDAjc/MYcYMhhqPJ8Qg+upUYBqQ5TpXuKUgxne+OQeBY1m9MKRnUXT1HTMMVGev4dwSf0xI0hI38GbWc+R37BmLztVeKWmV91W7Nh8gN6DO/o7HCGqpPJG13Uu5astzqSgaRnnO7sYQ0/gr+KvYODp4r9PxTkAuAvwNbAH+BjnTKV+WuucEn08iHN8zUKcs5pygeGnzMQaBWzFOUvqh+K/l1z7RlRSpu0zUq0vsclwwO2+Gtt2EWT/EZs+5PK1ShnJti8h2LbQ7TjKkjmwPoZHFrHuoxe9dg9RcUGtm2OcvY4+U0td8aFGCWqp2JMYz8sT51NYcOpSXUIIKH+bhE6V6VRrvaPSEVVBsk3CmSVaJmEkmtjAB9zuK8f2IxnWj2kaNAelXJ/RklY0iyIdR8PAl92Opcx7fPsj6ct/ptnE/xHYpKHX7iMqJu3rlaQtW0PrVx/HGFazN4DMycrnt1V/k52Vx3W3lL+DvagaZJsE3ylvnZoalZwIz3NoC2nW6eSZhzGDTLf762T/kXb2TTRmBkbCXb6+0LGRVNunzAwI8dgeUKeKqJtE93eXc/TiKIY0cT+RE+6xZmRxfPZnfHV/Hvkda/YjKCLg2AE7eT8YuPqmwZhMNW+XciHcUUNXrBK+kmn7hFDDQDqYP6W3B76dUoikwNgIo3I9oQGIMI2i0L6dJ/SdmJXrg40rZACkL/+Fw8/NwNIjicBG9b1zH1EhDcZeS9Yvf3DDF01o3vE+f4fjdfYHHSxrvJ43Jy9i/LSR/g5HiCqlzN9CSimzu4vpeaIPUbXZdSoZ7GWOmkr5Q7TK15GfaKOzqOxyh5oCcjjA67xIPnXdjqcsddUxzjkcj6PQ4rV7iIqzpWaQEJTGRzV8ajcARkgusKOSKpf4C1GTnemj9V6l1DPAHFe3PlBKnYVz1tIunCsAixqo0LGb5KJptA76hCnqCo/0edCxHbuq/FLwgYY2mHUedzoGEGG4ziMxlWoYHBn3IVv6j6BX3I+YIup4716iXE0evYvMi8bw4Ki7iejfw9/heN8t8EHaNzw06i1em1/zq1NCVNSZkprNwAfAs0qpT3Du/7S5rARHKVUPuAi4CRiKcyG82Z4NV1QtBkKNQ9iqkt1acK+k9sY0WupGtKpsRCqSUOMAtpHosZjKEtXhKF2HtMKWnStJjZ8FNKyHbehZfBDwEbl86+9wfCKjvYO6NCQrPZeIqDB/hyNElVDe7KfBONeF6YtzbZoCnFOhjwMZQBAQDbSHf7bFyQZmAC9orXO9FrkPyeyn0u3L7wkYaROywWN9xuW1xWxoRqvgVZW6XmsbO/IiiDSNpEnQLI/FVZadI/5H1rqN9Ev80+v3Eme27YLRWA4dpdee1f4OxWemPfgxRxNSeGeJ5xebFJ4js598p7zZTz8D/ZVS3YBbgfOh1H0Gc3Gu//IFsEBrne/pQEXVYtc5hBrPI95Qh088WBHpYGpIU0OPSldqlDIRY36AeIPD8xtbliLyPs05nfuTtz2O0M7tvH4/UbYmE25n24oFPJP1OPaI2rGbde5IB612tmTfziO06djE3+EI4XcVGtmptf5La32v1roDzv2SegAXAgOBdkBdrfUlWutZktDUDpm2T0i1vswmQ4JH+21rXU+Abb1bfeTYvyPYuthDEZ1Z5uAGWOb9xMb/jfPJ/UTZzPWiMby+goFz/B2J74T1NrD11/08P/ljf4ciRJXg8hxcrXUazq0IRC3mcGTTIOBFxhkeRuG59WCOmtIIM7q3qFi0+UHCHLuY4qOZMDlfXk/yvCVk/7GFOr3P8ck9xenCu3em87KPiBjUmyHFG5o6LEewJb+DudFElLFmzhY6/HgSyz//nYS9ibQ4q4G/wxHCr2SdGuEyre0kW58j3zSQGcpzhTmDtjHcNpOj6hi9ubrS/eTbfyHN9hkzAwK9tgBfScbWVga8u5AjhiMM7v2u1+8nyhZ1yZCTXjty1mI99jwf1k0hMayxf4LyMluEJu4bG5kxaTx81i3+DkcIv5KkRrgs2/4NIYbBtA/4lF54bll6B4UcNGwhyjDarX4ijCOwOo4yiQmVWpXYZeGQ+/to4h9+ntwtOwk7RzYbrCqMda/EEHEht9muxcRF/g7HO6Ih8+tcvl3wK1/MWcOIsUP8HZEQfiNJjXCZ1XGQLL2J59Q07HhuQKYJCxfodSTShn5uVGpspJKlN/GSnopF+WYvoBBzJt22/kl68k8MQZKaKsNRiC7Yze6iVXyOe2O1qrRoOJhgo1F4A0YwxN/RCOE3ktQIl9gcyaRaX6N5wAtMUp7d5Nymk9nHfOrj3uJpAYYWBGLgAT2KYHw0xqUDpLy9jP03T8WyYYRsdFlFKHM0hpBzaJN9jCn15vs7HO96Fb78+Gfuv+ENXvnkXsxm+fEuah/5rhcu0UCgoRM7VDKrPDwQ16Qs9DWYSVXJDHCjH6OKJl81YLqaQz6+2+AwokES3bvWw1EkO4P4muVY6XtwaVsmKqgNh9Rx5teCLRQyGzoIaRdLVnoeMfUj/B2OED4nSY1wyTHLPVgc2xlg+t6txKM0hXo3e+0v0cgU4lY/WlsJcGzjNvv9RBlu9lB0FTAAdkc/yJY+V9MvZZPv7lvLpX+/hu2X3kyXFXOpO2zgSecKdvQBbadR0REmNzqOMnlvP7Aq4UJYp7Zx15Uv8dysO2nbubK7qAlv27RpUz2TyTQL6IwnNs6rHRzAdpvNdluPHj2SS2sgSY2oMK0dBBm6cMzY0CvTpQ1Y6WHsQIYhiEFu9BNoOIsI443sMFi9vlXCqeqOzadroz4UxB8iuJX8QvE2e34Btqxs9GOXMqP7d9j48aTzgyOjaWjsQHDhYeaqV7Bj9lOkvmPtqukxpgUZaTnk5xUSEhrk75BEKUwm06wGDRp0iI2NzTAYDGUv7S/+4XA4VEpKSsfExMRZQKkbDrqc1CilDEB/oAMQprV+vfi4EQiUxfdqrjz7TyRbJ9M+cC798Ox4GoB8/Tv77c/RyFEIxsr3Y9fZZNnn08bWmIHGFz0XYEWcD+tv7Mm+rZPoslwWRPO2xNkL2X/f03Tf+A2Do7ucdM5hOUxB4tMYo1thT1vJYxGjMcfe5KdIfageHLk4mQdGvsmouy/k6psG+zsiUbrOktC4xmAw6NjY2KzExMTOZbVxKalRSg0CPgJaAArnEIvXi0/3A35WSv1Ha+2b5VyFT9l0FjHmh9lqqscaL1RAjMpCD1Mn0g11cOfHsNnQgGjTvcQbI5nph3EUEYt70u0rLdUaLytKTKEoKRXHJ3fwavfPce7S8q9AYyEXRHfG1ugCuhvD2RaQwre1YFwNAC2h2QtGDiUfZOeWBDqe08LfEYnTGSShcV3xv1mZj+sq/BxPKdUVWA6EA5OAz0ue11r/ChwCN+biiiot1fo8ifZvWaO8MzU2QifT1LYDs2OnW/1o7SDDNocA288eisw1RY1CUG+sYMOSd/xy/9oiY9WvHJ42g80tD5e6yGLD3CN0TNtOsOUotrTPiE1Z5oco/afOEAO/zYpj7uJv/B2KED7jSqXmKcAK9NRaH1JKTQZGnNLmD6C7p4ITVUehYxcmGtIh8AW60ckr97CqYxwxHKGNYZRb/ShlINJ0M/VUC6bwkGeCc0UbSPvmMhI/Wox1TDrmmCjfx1DDFSWnkrrkBzp+O4tB/c8vtY3duJ6iiHS6ho/D1jSKenkbfbZ1RlWRsSCbX1ZsY8G7K7jxfxf6OxxxBjE3T++allPosXGu0eFBttSPxm2tSNu5c+dGjhkzpvXmzZt3dOvWrTAuLi7g8ssvP2vv3r07Sra7//77G33//feRBoOB6Oho6/z58xNatGhhXbp0afjw4cPbzp8/f9+NN96YBTB06NA248ePT7r88stzevfu3e6VV145PGjQoPxx48Y1Xrx4cXR2drYxPz//L0+93xNc+QccBCzRWh86Q5tDwMXuhSSqIqvjMNmOH1nCdLLwzv4yETqRwY41HNPLONfNBewKHZs4btjNDLI9FJ1rYqwH6bLyd1qmZ0pS4wW2tEwyV64jZWx71vBLqW06WrZxUe4vBNqz0JaD5GV/zwt6sk+2zqgyYuDIXhtBR+pwI5LUVGWeTGhc7e+zzz6L6t69e+68efOiunXrdqysdpMnT0588803jwE8++yz9R5//PGGCxYsOARQv35964svvtjwRFJTlquuuipzwoQJyR06dChzXIw7XPlHDAeSymkT6GKfoppItb5KrPluHjS+4rV7FLKdBLWCdqqf230FGtpTjzz/fTK/Gg5seoW9t0+k688L/RNDDaUdDuLGjKfpxP/RbPjdZa6fa7W+gS0wAWWujzH6BoLTFzIpbzjGsJ4+jLYKmAwrv/qTh0a9xbQP7iQ4JNDfEYkqJCsry7Bx48awVatWxV155ZVtXnvttTKTmqioKMeJv+fl5RlUiQ8IHTp0yLdarWrJkiV1rr766jI/TZ5//vl5Hgu+FK4kIMdxzng6k7OBhEpHI6osk4rloMrx6sDbUJVOL2UlhV0M5Fy3+jKpWA7pdD704+OGJjE7OauhQttsKJPk+p7isNkIaFiP+JiUM/737Wz8i37mABopA8oQjDI34k/DNpaz1HfBVhFZdRyo2EgK8oskqREnmT9/fuSQIUOyzj77bEtkZKT9119/DYmNjbWV1f7E46Pw8HD7zz//HFfy3JNPPnl80qRJjc+U1HibKz9pVwC3KKV6aK1PW1lMKTUU5yMq732UF36RZp1Jpm0h3UJ20pezvHafPL2OeMfbNNfuP94q0geoY9/KFJZ4ILJKegDW1+vJ3rueoO0sH08tr8H23PwIuVt2MuTrD864y1Fh1nU4CtNQyoQKbo+2xNPt+C/0bf2Rr0KtOs6DP4w7uXP4izz7/h206yKz8oTTokWLou6///5kgBEjRqTPmzcv6qGHHip1YTuA6dOnH50+ffrRiRMnNnj55Zfrvf766/9Udi6++OLcSZMmsXz58jBfxF4aV5Ka54AbgNVKqZeBNgBKqcE4k5nxQCrwqqeDFP5lIpYC0yW8pOZ4dfGyAJVHd2M7MlSuW4vvAYQbLiFRab8PDG3+YDNaKgdtrFYM5pq/8Ju3aZuNkA5tSOoWWO5/23Pq5NMxqB9ti1+bYu9gnymNRbVssPAJRe01Xa5rQk52PpZCK4FB8v1Y2yUmJhp///33Onv27Am+9957sdvtSimlH3zwwTKTmhNuvvnm9Msuu+yskkkNwMSJE49Pmzatoclk8st09QonNVrrg0qpS4FFwNM416hRwE/Ffx4FrtFalzfuRlQjWjs4bBlJQ9N1TFLTvHqvHMdKEuyv0NThcGvxPYBcx0+E2L5icsAClPLfo5+MPr/x9/mjSGncj/r/vcZvcdQUKZ9/z8FJr3L293MYUs5qRvlJXVAqEZo6X2tbCs2PzWRyvSyU0W8fJP2nPhy8IpHxo6dz07hLuGKUpzc6EdXNvHnz6l5zzTVpCxYsOHjiWK9evdolJCQElNb+77//DuzSpYsFYPHixZGtW7cuOLXNNddckz1lypRGycnJpfbhbS79tNda/6aUag1cC/QFooEs4Hdgoda60PMhCn+y6gTqmm5lv7kPs738CddoKKSHsRPpRqNbi+8BRJhGcpwcnlbPeiS2ylIDHTR7rhuOzM3UR5IadzkKLTgmXcH0oavQrD5j2z5RsTQ1d+fEFAtTgwc4rhNYbJ9MnjHc+8FWQbq1pslkIwl58RzY04qWbRv5OyRRLDo8yObpKd3ltVm8eHH0I488crzksSuvvDLjueeea3jgwIHA+vXrn33i+PPPP3944cKFUfHx8UFKKd2kSZOi2bNnHzy9V3j00UePjx49uk1p5+66664mS5YsiSosLDTUr1//7FGjRqWeaXCyq5TWFasQKaWiAJvW2m8DgPylZ8+eeuPGjf4Owy+SLFNIsk5lWcgDFBrqePVeMfYEBhd8TE7g4/Q3u1cVOmZ5iFTrW3wbOgGr8u/eN23G/0nTN3fTP2Uz5rqyc7I7fqvbFesFbVm9uPy1ku7e/ApFoV1p0m4dAPa8rRRuP4eDze9jUYMavrHlGWibZuf5NtoPa8QzT97j73BqBaXUJq31SdPutm7dmtC1a9dUf8VUnW3dujWma9euLUo750pWmALMA8Z6ICZRDWjtwKqTaBzwHo8Z7vD6/WyGVI4YU2ljGO12X+HGy7A6DjORKRjwb1Jjf6aABMfLpH6+jIa3j/RrLNVZ1q9/UveiQbR+8ykGE3vGtlprLBGHMEb8uzCfMbQrpkZP0NoezhQe9Xa4VZcJkhaks27V33y38Dcuu6G/vyMSwmNcSWqyKH+dGlGDaCxk2z7nqDmf6XisOlimOo4kzrMv56juy7k86VZfFscuMu3LWKAnYVGhHoqwkkKg569LCT/SUpIaN+Ru3k7yslV8OT0UazmJqkHbuTNrMTnmAtrw7wrVOn8rmfaDvNf4tKEAtUtjOPCnjShjlCQ1okZxJan5A+c6NKKWyLR9ilm1olfAe/Qh2Ov3K1KHOaB+oQ3uL74XYGhJsGrNBMZj9tIKyK4o/OJ2dlx+Kxkrf6HusIH+DqfacVgspHy2lLNeeoLBseVX8rTOpcC8nKjgS046bmr0FOHxY3gq/3oMIe6tWl3d6emar+f/wpR7ZjP57VtQtWmlZVFjuZLUPINzOvd/tNafeSsgUYVoyFEWnmUaDh8sFB1ENv1UOinqbwZQ+n4+FaUwkauKeIVXseDnSg0QYMrn7KBUchxbGIIkNS5TChVgZk/gAd6vwIB1M0Vca0jCovae9ElMGUzkGWzM5m3Sqee1cKsFBalmO4EBdbEW2QgIlCneovpz5TdVH2AlMF8pdRfwJ5CIc2r3SbTWr3kmPOEvdp3J8aIHaBLwCE8p9x4FVZSF/ex1zKCRo47bU7rtOhOzYz8P6jEE4ZUtRlzTCA5d8y6Hr52BNWE05ujaO1C1Mg6/+B65f+1kwNfvM4TyB6w7bAcpyHuNAHuTk44bQ7sRThh3HDlOUFvZRZ0bYEXAH4wZ9ixvLXqQ2AaR/o5ICLe4ktSUXCl4UPFXaTQgSU01p7WDOsYr2WMM5x0fLVZmVEX0NLYmw2Bxu5YRZOhMkbEPrxo+KXf8ha9EDEym+7XnYM8vxBzt72iql8CmjbCN7sWzYa8AhnLbm0xWLo1siS1U0/uUc8bokSQ4trOgli7Cd6qCjpq2l9Un6Wg60fXqYDCU/+8rRFXlSlIz3BsBKKUGAROAHkAj4Gat9Zzic2bgWeASoDWQDawGHiu5W7hSag2ctrTJQq31f0q0qQu8BVxRfOgbYJzWOtPz76r6S7I+Rab9U/oZ3mUAvlmorEgfIM7+PPXsqW5Xagocmwmwr+N+gvLLZQAAIABJREFU+zOEmYZ6JkB3nQsbRg8kbsx4uv60wN/RVBv23Dz23PYYje4YyRTj1IpdU7CBwoznCIg0cOq3rzLXp3H8I0yqswZjHXdXRKoB2sGmAbuZcs9sJjw3kr7nVYHKZi2UtymmK7Y0zz3nN0XbQnukbq1I07lz50aOGTOm9ebNm3d069atMC4uLuDyyy8/a+/evTtKtrv//vsbff/995EGg4Ho6Gjr/PnzE1q0aGFdunRp+PDhw9vOnz9/34lduocOHdpm/PjxSZdffnlO7969/8/eeYdHUa1//HNmd9NIDyEESAid0EIoUqSJ6EUF+QkWbHixN0RBQVQkVxHkWimKoFhAkKKioqAixYagoIReAwKBkN6TLTPn98cGb4CEZHcn2Q3s53n2STJ75t3vlsy+c+a877fNq6++ejwxMbF06NChzf/++29fg8HA1Vdfnfv222+n6vaccayj8Dd6PnA5AoFdwMKyW3kCgC7AS8B2IAS7DcO3QohOUsryzYU+AJ4p9/e55Q1LgFjsCZIE3sNeol4jyVpdx0QsRT4P8qKoRSsvIeli7EyuEk6Ui6HqGa6g1DiQN5VvsfGjLvL0IGJ2azr+7Is1J8/bs6aa2PIKaHjPzaQ+Fs/ias6umPzMXB3eAUtI8HnWqMaw6zkWNYKN8n2OV9HA71JB6yqJflLhj9y/aJUeQ0QD72ez1tEzoXEw3tKlS8O7dOlSuGjRovDExMRKS12nTJmSNnPmzJMAU6dObfDMM89EL1my5BhAVFSUdcaMGdFnkprKGD9+/OmhQ4cWlJaWissvv7z18uXLg2+++Wbd+t+5fZ5RSrlaSvmMlPJTQDvnvjwp5VVSymVSyv1Syt+BB7C7hZ/rGF4spUwrd/vnhRVCxAODgfullJuklL+VxRkihGhTo0+wDmLV0jhtfRpF5tTq4/rKYuJs2/FVf3E5Vom2GT/beuprJ3RQph/WcF+U/67h18/edLeUOkPaguWkzf+Ezb7n+ehWSuPCE7TL3kVQ4Z7z7hPGUKLz9jDkxKXZULMiFD9B0OUKP/53H+99+am75XipRfLy8pStW7cGfvDBB0dXrlx5wcV+4eHh/3xHFxUVKeUr5uLj44uDgoLUlStXVrroLSgoSBs6dGgBgJ+fn+zUqVPx8ePHdbVTcJ8pjvOcecHO/cYdKYQYib2XzhrgP1LKgrL7egGFwKZy438FioDewFn26Zc6Zm0XocZRxJtmcxm1105eCskJYwYhygiXY/mLXgQZhnG3mIEPTareobboDamzPqJ0fypSSm8ZbTWQmkrcjKfp1+yBau+j+h3DGlZA+8AHK7zft8VClLQ3eN48GsW3qV5S6zbRkPJhKlt+2sOWjbvpMaDqrs1e6j6LFy8OHTBgQF6nTp3MoaGh6i+//BIQGRlZqcXCmDFjGq9YsSIiKChI/fHHH8/67nzuuedOTZ48ufENN9xQ5cxLZmamYe3ataFPPfWUrv3vqp3UCCGqOz0kpZQ1MncphPDBfvlplZSy/Cn4EuBv4CTQHpgOJABXld3fEMiQ5TwhpJRSCJFedl9Fj3U/cD9AbGyszs/EsylUfyDb9jkf+DZGq0FX7nNRsHKdbRmnhJnLXLwqaOEQBeoqfpd9+YGCqneoRZqf3EbT91KIe2EcBn/PWMTsyZz+6HNK+8XyPqeqHlxGXOlhbsxZhSn6SfCtwN9I2lCzlpJcvyNf+not6/6hLeyfaKVleiNvUnOJsHz58vCxY8emA4wYMSJ70aJF4ePGjavUpXv27Nmps2fPTp00aVLDV155pUF5l+7BgwcXTp48mW+//faCCzGtVivDhw9vfv/9959u166dRb9n49hMzQEqKN8GQoE47Es792Gf/dAdYbda/rjs8a4vf5+Ucn65P3cKIVKALUKILlLKP88MqyhsJdvPxJwPdu8nF+XXGTRZRJFtEzE+b/O8cN2uwCEEHFGSCaS7y6FMIho/0ZmWYiB9SNRBnH7IaZLdO+/h1NyPaTLuXnfL8WgKtu3EFBFKx2dfpD/Nq72fatiMOWAvwqfiWTpDUE9MTV4iPn0ziaFf6CX3osC6wsay99Yxd9pKHnrmBnfL8VKDpKWlGTZv3hx84MAB/0cffRRVVYUQQj7xxBOVJjVnGD16dPZ1113XqnxSAzBp0qRTL730UrTRaKz0e/O2226La968eenzzz9f5eM4iiMLhbtVdp8QIgKYjX2dy0AddJ0b3wh8AnQEBkgps6rYZSugAq2AP7H302kghBBnZmuEfd4/Eq/1w1lINDRRxD6xh+/dUPLal93UE9FVOPtUjcSGpIRtbOYHvtRFm24I6Fyyl9CSME+6MOaRSKuNguIs5mizKab6E8CN5d/coGXgJ9ULjFLJVo9Xq5nfJYUPnDKrhJdEommat8T7ImbRokVhw4cPz1qyZMk/btvdu3dvc/To0QrXuezcudO3Y8eOZoAVK1aEtmjR4jy/keHDh+cnJSU1Sk9PrzDGY4891ig/P9+wdOnSozo9jbPQZU2NlDJLCDEK2IG9BHusHnHhn7LupUAH7AlNWjV264h95ujMfPVv2KusevG/dTW9gHqcvc7mkifT8hpWeZyexsn0rgVrhHM5yJf4asUux5GyFIs8TIKMow8P6aBMX3KeuYpd195N/qA7CO7hWTNJnsSJV+cTHBzFhLZvOLSfzboUs3kplUzEAmCKfpLQ07N55rgNn5ipLiq9yHgCVixYz73XTuftlU/h56/rWk4vFWGMsOld0l3VkBUrVkRMmDDhrOu6w4YNy5k2bVr0kSNHfKOiov5pyD19+vTjy5YtC09JSfETQsgmTZpYFixY8Pf5UWHixImn7rjjjpbnbj98+LBp9uzZ0c2aNStt3759O4D7778/fdy4cbq5lYtyy0xcDybEbOAGKWW1T0CFEIHAmSe/CXgZew+ZbOxrZD4FumMvvS4/zZUnpSwRQrQAbgdWA5lAO+zrbkqA7lLaT9WEEGuAJsB92C87zQeOSimrXLzRrVs3uXXrpVEpkWV9lxT1K77x7QJuWMTasfR7GimJ9PJ5y6U4Vi2NVPM9HPO5hfWGFJ3U6YdfSgG9Jh6jy4TJBHX3WqpVxtGkNzmq/M3G5x1bphdVeJKhqbtp3OIbhLHiLrlSaliOjuGwv5HlDb0dns+lYJNG4M8NGT38BuJaRbtbTp1GCLHt3KsdycnJRxMSEnT7Mr+USE5Orp+QkBBX0X16Vz8ZgPoO7tMNzmoW8Z+y20dAEjCsbPu59ZyjgQ8BC3Al9tmhQOA48A326qfyc8+3Y2++933Z318Bjzqo9aLGJjM5aX6IJqbxJIn/uEXDQe0rhPY7uHhiaJGHKFBX01EbST9Dki7adKU57Cwaze7hD9LzuHeysCJKDv/Nsf/MpMXLExlAxVVMlWHJfwVr7rtIW0alSY0QCoaQgTQ9eCPP+X2HMfRqPWRfPPSGjTl/8uSdc5g6/37advJWiXnxfHRLaoQQccCNgEOnxVLKjdhnTioNXcX+xzm/m3BF47KBWl75WrfQZDFhxns4aGrPPDetM2hubEhrYjhv3tJB/EQCIYaR7DAY2eChayZCJvmRuLIjlrQMfBq6uoro4kP4mIj69wgOj6zPAgffw6jgk1xT/2qa+l54cbEheCAno2/jd/VdDnqvRJ+Hrbek96OtOHUsi8ZNIwkKCXC3JC9eLogjJd2zLhAjBvtsiS8wRQddXtxApvV1sm3v8rNvKLhhPQ1AY3Ufftof4DPPpTilcjt56lK7oaHifpfuiihtWg/ljc/4LdCP/i/MdLccj+PU3MWc/vAzNr2kYG8uXn1a5u4nMvMnZJNUhG/lLRmEMYxYmz/Rh5byRlgbVKUutu6qOYxhgtOXHeGtUQfp83hrHh95l7slefFyQRz5D67qUs0J4BUp5VwX9HhxE1JKhPSlse9cnhXVb3KmNznGlpSof1Y9sAp8RUeCDTfSWrmPXrTWQVkNEAun3utO8Z5DSJsNYfR+oZbHGBFK06nj6dfI8avEtqB+2CI+Qvg0rnKsT8x0MDViUnZbjPVvc0bqxU1r2PVWCnuTj5K85RAJPVydR/XipeZw5CjasZLtGpBTzaokLx6KRhHZtrcoEtcz24EmZ3rTRV1FU9shouVrLnXbtcoU8tXPSNXi+d7guSWpTdN30vytHcRMuB+fKO8lqPKkvbeM4tZBfIDjayl7F2ykZ85mfNU3wBh+wbHCFImWt4bswq+ZV/+As3IvamSiZN8kG22uaOxNarx4NI70qdld9SgvdZUidR3+Sk/amubVqjXCueQa4snR3kdiRuB8t12jaECA0psWylB669DMr6aQT0v27RhL+ieraPL43e6W4zGYT5zCFBlO54kT6U9Xh/e3+i3BFugPSvU+y75t1xN6+HaezWiOKXKUw4930aNA8cpSVi35hQWvfc0944e4W5EXLxXi6Jqa1VLKby8w5mpgiJTyMT3Eeak9bDKbPHmQ6eIlbC4kE67SjK10Yj+xVNli4YJolGCVqfwpf+IHaspgXgcEJKb9QWiaShO8Sc0ZtJJSzMdP8VfJFjayyuH9E22/09t6AD9sUA2rD6H4geU4h2ybWeZYrcOlQz1IzVYJzYpwt5KLkvxrWiWQn6PfNejgMFvwmoPJ1Rm6cOHC0LvuuqvFn3/+uTsxMbF0//79PkOGDGl18ODBsyYzxo4d22jNmjWhiqIQERFhXbx48dG4uDjr119/HTR06NDWixcvPnTGpfuKK65oOX78+NNDhgwpuOyyy9q8+uqrx/v161d82WWXtUlPTzf5+flpAOvWrTvQuHFj1w745XB0TU0mUGlSg72fzCOAN6mpQ0hpI8MylWjjKJ4TL7pVSy6fcFJ7FFVmYxAXtA+5IBIrqsyhE/H04VodFepP7pTB7B52PwU37SSoa2VXeS8tMj77FmlT6dtrNAOcWLRusb2ATd2DvctE1QjFhG/rVcTu6sxzpjcx1vcWSlbIRFiz4jfuvW46b37yOIHB7ikouCjRM6FxMN7SpUvDu3TpUrho0aLwxMTEk5WNmzJlStrMmTNPAkydOrXBM888E71kyZJjAFFRUdYZM2ZEn0lqLsTChQtT+vXr53qX1QrQe2WiCbs9gZc6hJTgr3QnRRG84+by53DlBJcbWmAQrnmiGggnwNCDZJHGOg8t6T5DQHQePfo2R5i8C4XP4BPdAHPfWKb6TEfi+Jqotn476R3YnBhR/ddUGIIxBF/BbnGIlR7+mXEnBbEakV0jycnK9yY1FwF5eXnK1q1bA3/44Yf9w4YNa/n6669XmtSEh4drZ34vKipSyq97jI+PL7ZarWLlypXB1XHprikcPYpW2n5YCGEALgd0N6jyUrNk2WaSpy6nq+9BetPCrVry5OccUxdQom4j0Oi8jZhFHqFQ/Z4O2ij6emLzvfK0geTi29h361i67f6+6vGXAH9Pfp36ie2YYnzBqf3N+fdhy/0Oex1D9ZIiYQzG1PBxWu7pw3NyCcb6tzr12Bc9PWCHOMQTt85iwn9v57J+7dytyIsLLF68OHTAgAF5nTp1MoeGhqq//PJLQGRkZKWXg8aMGdN4xYoVEUFBQeqPP/64v/x9zz333KnJkyc3riqpuffee+MURWHo0KE5M2bMOKWnv9gFkxohxI5zNj0ihLipgqEGIBoIARbopM1LLWESjSkx3cTL4kNkNafrawofpZCrjVfgq7R1KY6faE+I8RZ2KIrHNt8rT8Q4fzpuaI4tvwBjsPsWansCUtOI+L+rOHF1KElOvnetQvLoqQymhQMzNQBKQAKmRs+zT93G59oeNMW9/w+eitpO0uA+hWTrTlqkNyaigWszq17cx/Lly8PHjh2bDjBixIjsRYsWhY8bN67SyYnZs2enzp49O3XSpEkNX3nllQblXboHDx5cOHnyZL799ttK1w4sW7YspVmzZtacnBxlyJAhLd5+++2IRx99tCqT6mpTVXrUCHuyEo19liao3N/lbxHYzSPfAp7US5yX2iHV/AAGLRUp3H8AD5LZ+No2sFV93aU4JdpW8mzL8NGqtU7O7ViiA1Be/45fPpjubiluJ/+3Pzk5+yM4met0jDbZe2iQvgpHve2EIRAlsCvNjr7GsFzv5cDKMAQKIm5V+G7yDmZ9sNjdcrw4SVpammHz5s3BjzzySNPGjRt3nDNnTsOvvvoqrDr/N6NHj87++uuvzzNNmzRp0qmXXnqpUrOwZs2aWQHCwsK0W265Jfv333/XtTvqBf9rpZT/+DgJITRghpTSuflgLx6JRTtGsGEELXyepCvun0bWhI0TRgstxEiX4vgpiQQbbqK18iC9iNNHXE3SFY7P6IAs1c9gtq6i1POnwZ030PL2CQxwsJPwGWxhbVB9tjnV68gQei0+zT+mbeFOpgQ9iTA5amd3iRAAu+cc4fSpbH5c8xf9r/G6zdc1Fi1aFDZ8+PCsJUuW/OO23b179zZHjx6t0H1v586dvh07djQDrFixIrRFixYl544ZPnx4flJSUqP09PTzYlitVjIzM43R0dE2s9ksVq9eHTJw4MACPZ+TI6ciQwFvZ6qLjCJ1PTnqh3yKiTzc78TrRwHX2D7hlOJHD95zOo5Z7iJfXUGqbM/3lS8F8yjaHNpEo6XHiXnyPoTB/bNm7iLr8+84vWwVn73ug7Wec+0Frsv9nFZ5x/Bt+qrD+wphRJjqY0uZwZ7gML4MPe+47eUMXeDIGBu+mQHepMZVgsNsepd0VzVkxYoVERMmTDir2+qwYcNypk2bFn3kyBHfqKioTme2T58+/fiyZcvCU1JS/IQQskmTJpYFCxb8fX5UmDhx4qk77rjjvC6NJSUlyqBBg1pZrVahaZro27dv/rhx4zKceXqVIRydnr0U6datm9y6dau7ZdQIp8wTEPjQ0Hequ6X8w98lNxNkuI5wH+d9ZizaUU6U3k0jv7fxc3F9Tm1hyy9g351PEH3vSCKGDnK3HLeRMmkGCEHzaROcjmE5NROtOBm/Fu87HUMt2IL15Av4xLyCEuD+WUxPpaTYzO4/j7Duq62MmXIjAU4mohczQohtUspu5bclJycfTUhIcLxdtheSk5PrJyQkxFV0n8NZoRBCAToBjbEbWJ6HlPJzR+N6cQ+l2l9kCoPbS7n/QUqu0jZgVPzpgfNJjSqzKdV2slV+zw8s1VFgzWEQVi7bsYXMow0ZwKWb1BTv2E9WaAkLXfhMXmH5lrYlea61kVT8UAt/5y/b96xiuSuRLm4CILdQI3uPAXOp1ZvUeHErDiU1QohbgNeg0usUAvuC4kt37rwOUaxuplTbRQe/r+nuRCv6GkHAEeUPTNK1WViJihBGutCDPvTQSVwNEwSnnu3I8WlvY70jD1PYpVdRYknPpGjXftpOe4r+/J/TccwyG01xbZG4oV4C/h3+IH53HxLi3sIYPsyleBc1gyGrSx5Pj57LXWOvofeV3iaSXtyDIzYJA4ElQAqQBPwHWAP8BfTH3qPmM2Cj3iK91AwCX4pFNHPERxQ50Yq+pugksmgsImniQgyDCMVHtGarOMB61uimraaJaHSCTm1C7acHlyCKny/+rZuxt+FJ5rowU9PdZy/ttXouLxEXSj1EQAd2iH18xV8uRqsdCnNB0yD4wj6euqP6ScwtVI6EH6JzUSsMBgVfvwrXm3rxUmM4cjr8FJAHXCalzBFC/AfYcqYaSggxFvhv2c1LHeCUZRzBSJ5SZrlbylkclX9hVn+t5OJm9TBrByjWfqKLNoV+yp36iath5DWS327vTMr4abRZMMPdcmqdjOXfkLv+N7q/+TwDaO10nNKCYWglrnvwClMkil8b2hyaypSuGXaPKA8nZMxMbKpG0ZInaveBg4E37L+Ou30WIWGBTJnj9TPzUrs4ktR0B76SUuaU2/ZPnxsp5cyyxnzPY6+U8uLBSCkJUHqTIiws9pT1NGXEGBQ6KN2qHngB/JQEzIb+zFLWYOEnnZTVAgJin25Jc6HRxt1a3IB/6+bIu3rzWrOFaC64uHQK1egQ0NuFtOh/KAGdOBk1lMXKyzpEq3miO/iCxeh040I9UG/VaBwQ9c/fh/acIDQikPpRoW7T5OXSwJGjRiCQWu5vM/ZmfOXZAvzbRU1eaoFi7VcyrNNo6/suvbnX3XLOIlV7kGzbu6g+7zltalmkbsRX/ZEx2rMEKVfprLBmOeH7PilPvEjhVf8mMLG9u+XUKsdfnovP1r08//4il+KUZF2BNCdDjOuaLH8/QUzIlW5NEhzhleQ3UDXpXr1Dzv5zysPvkdi7DU9O81pPeKlZHElqTgPlu1CdAlqdMyYQu6mlFw9HSpVw48PsMDZmo4cdrMONVnrxLxQXrj8FKJdjNlzBTGU9Nn7VUV3NYxhtoe+RQViyne+oW1cJ7tmZrGGxLn8hd4oIpL11kMuzXVItwBB+MzsbdOEbD/s/qYzYzj4Iq8mjkrDo1zRallkpFBWU8O2nm/nXiJ5eQ8xybKqfmGDL0q+NtTEi1NY786+60VJdRxxxkdoLZ83mbgIGCSG6AAghWgI3lY3z4uFk294i0/YxG8UWd0s5jzDtJH62NZjlIadjFGs/46tuIFjq2tepVlBDfLB88Rs7X7+0lqdJTeP4f+cjNqe4HKtt9m7qZ611OY5WuBU1cwE+lrrj05uyw8jBXe5WcTaBXRW2x/xOEkk8v3M6n8z7gRXJX7tblkehZ0JT3XgGg6Fr27Zt27Vp06Zdu3bt4teuXfuPZcGOHTt8+/fv3zI2NrZD8+bN21977bXNjx8/bgTYsGFDQLdu3drExcV1aNasWftbbrmlaUFBQYX5xKxZsyLCwsIS2rZt265ly5btBw8e3PzM2KSkpKgWLVq0b926dbtevXq1PnDggMsryx15EdcArwohoqSUp4FXgRuB34UQx7H7RJmAunHh+RJGk8VICXF+H5DEcHfLOQ+zIYWTysMuzdT4ig4EGgbzsDIDIxE6qqsd8hZdy/HX38V8Kh3f6AbullMrWNOzCOl/GXGPjqM/rpUEW0L8kFbXPfKkmo8h7EY6hT9PgkPngO7jpxZLMVtVkrjd3VIqpjekLsugcdNIAD77YAM+viaG3tbHzcIuPXx9fbV9+/btAfjss8+Cn3nmmSZXXXXV/uLiYjF06NBW06dPP37bbbflAaxatSooLS3NCHD77be3WLhwYcqgQYOKNE3jo48+CsvNzVWCgoK0ih5n6NChOQsXLjxW9nuz999/P2zs2LFZXbt2LR4/fvzeoKAgbcaMGZFPPPFEk2+++calsxpHkpp5wNfYK6CQUm4XQlwDTAFaAL8Db0gpV7oiyEvNo8oCitQfOGmM4TvONWJ3P+GcoK+2nlS5ij6MdSqGlaMUqD/ypkyiUNS9pCa8OJWEtT8Rl555ySQ1lvRM8n78nW0ZG9nIZy7FGlq0gsZWIw15xaU4WnEyJYUbeUU+j+qg47e7+CPVH82meNTlp/No+r9fj2yz0SCgvjepcTN5eXmGkJAQG8D8+fPDu3TpUngmoQEYOnRoAcDjjz/e6Oabb84aNGhQEYCiKIwePTqn4qhnY7VaKS4uVsLDw9XyMQH69OlTuGzZMpcP1tX+L5VSlgKHz9m2AdjgqggvtUu++hkmpSk9jFPphedd07aJdFLErzSXjZ2OITDiK2IYyyRMNNJRXS0xGPYOHcPJtz+m9bxp7lZTKxQl78Uvrgmde97FAIJdimU2piHJdlmTVvgb9er/m8mK59iIVMUnAe+VzdQ85W4p1WPO/379ac12Pl/4I1Pn3e9db1MLmM1mpW3btu3MZrPIzMw0rV69+gDArl27/Lt06VJc0T579uzxHzVqlEPToKtWrQpr27ZtYEZGhikuLq701ltvPW/B4Lx58yIHDRqUV9H+juBI872vgN+llHXnv9tLhQj8yBc+vMg0pAc2fzaJEnqJYjLkIS53MoZCIEXCh1fEm1icdHp2N60aHKKJb5wuZcl1AcXfj6IGCtONM1BdrDfoY9hNC8Jo5qooYzgpxjyWevKsxzkU+PuB0eDZMzWVkF9Pg4gQDEb7pb6iwlLqBXp+b6C6SvnLTz/88EO90aNHNztw4IDrDZ7O4czlJ03TGDVqVOzzzz/fcNq0aWln7n/77bfDk5OTA+bNm7ff1cdyZD71KsDDlp95cRRNWjhlHk+06d9MES+6W06FSGzs1d4jVEutenAllGo78dEO8JRcg0m40pvYfWQP+Yldg/9N7nWbCR3Q091yapy0d5cSlG9icuBLLscqKdoEalrVAy+AVrwLNWsZLUM/JIk7XNZUW8xMm4VN1epkUkO/shuwa1sK/3n0fZ57898k9DjP8NmLzgwaNKgoJyfHeOrUKWP79u1Lf/rppwr7acTHx5ds3bo14I477nC4PFNRFK6//vrct956659r6l988UXQq6++Gv3zzz/v9/f3d9lh25Gk5jB2E0svdRqVYOMNpBiaMN9TD3oCOpla0VAJcvrCkb/SlVJjX6aLd1xq4uZOfDoUc/kdvVACLo0z1eC+l3HE74QuX8ZdQwWttQ6ulXQbwzGEj+CPQPjOU/9XKiCyjQ94WEm3M9jiJGEjBCdaHCaBluzdfpQW8Y3x8b04u4YYI0Jtepd0OzL+r7/+8tM0jaioKNt9992X9cYbbzRcunRpyMiRI/MAPv300+DY2Fjrk08+md6jR4/466+/Pm/gwIFFYJ9pGTJkSH5sbGyVj/nzzz8HxcXFmQF+/fVX/zFjxjRdvXr1wcaNGzuktzIceQE/AJ4WQkRLKU/p8eBeap8s69vk2j6gm2knfejgbjmVcsC2HEX8ACbn1pMUqKvxta1jks8iTKIy/1UPpxFs23kdB+9/hq7bV7tbTY2ilpTyd9KbNLrnZl2+jEuyeiDVYy6dhtlOz0XNXk6P2FfpVYdmal7Z/Qaq6ubme3oQATxp//XIgZNMfvBdRj9xHdfd0tutsmoKd/T8eIdAAAAgAElEQVSUObOmBuxd5ufOnXvUaDQSGBgov/zyy0OPPfZYzMSJE2OMRqOMj48vmTt37rGYmBjbwoULU5566qkmWVlZJkVRZM+ePQvvvPPOSmduzqyp0TSN6Ohoy5IlS44CPPXUUzHFxcWGm266qQVAo0aNLOvXr3e+lwcgpKzebI8QIhJYALQDpgJ/AGnYXbnPQkrp+go9D6Jbt25y69at7pahCznWRRzQvmeNT3MQnuuaGGfZRlvZgJ6+C5zav8C2kX221/jGz0Pcx50k7IeTJKyS9HnxdYzB5zbwvnhQi0s49OgUTj3ajo1djrocr3PaFtpoccQ3mut0DFvmUo4Uf8Xi2Lq1qmn5q/bmezdNKnK3FN2QmiR3jWRwnz5cHTiI71f+zmX94oloUDec7IUQ26SUZ3m/JCcnH01ISMh0l6a6THJycv2EhIS4iu5zpPHCaeA6oDn25GYHkA5knHOrO12qLkFOW57DqO3z6IQGIEpLwd+6zOn9C9Qv8bWtxiRLdVRV+yhmDWXWD/yybr67pdQo+b/9yekPVsCB07rEa5+5k/qZ37oUw5r2GqF5v+uipzY59JeRA57XqcElhCIIu05hS8gmnkv9DwteXcVH33u7h3g5H0cuP31OBbMyXuoOFu0Y/ko3mvpMoSud3C3nguQbe5AjP0KTpSjC8TUlAUofwozZPMN0BJ6dwF2Q6+DIxBkYj9SNM1JnUfx8iRg+mLb/N5YBuL6GyBLmC5rzCa3ULAi/eMLC/s8jG1ReiE1tllFqU0niNndLqRli4dji00THRlBUWMqHb3zDkFsvp2nLhu5Wdkkzc+bMiLlz50aV39a9e/fCRYsWHatNHY70qbmxJoV4qXksWgp56pd8RQhZxLpbzgVpqW2mk/oTjWW+U0lNqfYH2eoq3ud5jyxbd4SE7WsJLwkiZpxnGY/qSeHWnWR+v5GXC5Kw+rme1IwoWEx9LYBo/uNcAK0QNfdLjgYEsNQDG1ReiF+P+KOpHt58z1Va2H+YT0kOrbVh6mHh/pZes0x3Mnbs2KyxY8e63sbbRepmWYgXpyhQvyHEcBNjDO+7W0qVFBu2ckKMxkYWRhzvqGsQEQSJLh5btu4Iha+MZO+tYyn4cxdBXTx3cbcrmFPTiLxuEM9G6uOyUuqb4dJMjVayH0yxtA4fT9J5vr2ezach72Ox1aHme64QC+p6FYPRwNGDp5iVtILHkm4mrpV31uZSxamkRgjRBIgHAr22CHWLdJHNB3XgDC6Uk/QXpeD0pSNBjsi/KM5WAwy5tPfJpEj7gwEeXLHmKhk+Wbq9XwPFVmJEpNPN9ySCIqWUd5lNLuG6aKotMg1+SK1uNt9zirJvsVIhKTH4/7Nc0GqxYfLxnrdfajj0jgsh2mL3gDpj0iHPxBBC9AdWAKOklNVeoSeE6Ie9cK8rdlPM0VLKD8vdL7D7S90PhAFbgEeklLvLjfHFbrB5K+APrAMellKeKDcmDJgFXF+26StgjJTS4QZCdRGzdogs6yxa+s4nibvcLadKLCKFA9pCitXf8FPaOrx/qbaDQC334jiwt4Md9e9EG7cGfhrtbjW6IzWN9EUraXzTtbq9X6WlvyE15zuuq1mLCbQWMtb3TUQdMbI8w5ys2VhV7dKYqSlPS2Ch/dfVy39j8dvfMefTcYTVd81yw0vdwhGbhGbAL0A97NVPccCV5Yb8AqjATYAjZQeB2DsVL+Sfj+RZTADGA/8G9gPPA2uFEG2klGfMsN4EhmFParKA14GvhRBdpZRq2ZglQCxwDfZk7D1gETDUAa11FoEfQYZh7FJsrKsDX/QGYaGrsQW5ohBnbO4ClMs5JUovjqQGaHSDldaHw5FSIjy8cs1RhKIQNrgfJ64I4mOd3q/uwRqttJZOW0wo/h05EX6SReIFXfTUJmEtfZFW40Xz2XeG4nYara6Npl6QPzlZBdgsNiKjw9wt64LsKayfoJKl29SSgQhbu8DMWu99424ceQGnYE9Aekkp/xJCTKFcUiOlVIUQvwIO9XOXUq4GVgMIIT4sf1/ZLM3jwMtSys/Ktt2FvWz8NmCeECIEuAf7DM/asjF3An8Dg4DvhBDxwGCgj5RyU9mYB4Cfy5Ijl/0mPJ10ywsUqF9wubKIvvi6W06VSKzstr1GKNudukiapy4jWDtKku9y/cW5gayYdex++F6y+qyl/v9d7W45ulLwRzKnP/yM1j2mMoDxusQsye6J1P4AJx0yrKlTaFyvS51MDF7d+yY2rY7aJOhFh7Ib8NITH5F5Oo+3PtPns1VT6JnQVDeewWDo2qpVq5Izf3/55ZeH2rRpY9mwYUPAU089FZOZmWkSQsjLLrus8L333jseFBSkLV++PPiFF15oXFxcrEgpueqqq/Lmz59/oqL448aNaxQYGKi+8MILZ/VquOmmm+LWrVsXEhERYTt48OA/V10eeOCBJt9//32IyWSSTZs2NX/yySdH69evr54fuXIceRGvBlZKKf+6wJjjwEBHBFRBM6Ah8P2ZDVLKEiHET0Bv7JfCugKmc8YcF0LsLRvzHdALKAQ2lYv9K1BUNuaiT2p8RVsKfO7lBTHd3VKqh4B4U09ilAZOfS+FGG7koCH5ojmwK1dYaTG2LZr/AQZwcSU1psYNibx9GAduCNTNuiOxfjittUTindhXSg1D2E3sDmvCV3Xw8xOb6IOw1H2bBL0ofkDjsiJ7C4uf1mwnvnNTj5+1qS3KG1qe4fjx48bbb7+9xcKFC1MGDRpUpGkaH330UVhubq6yb98+n/Hjx8d+9dVXhxITE0utViuvvfZapKOPe/fdd2eOHTs2ffTo0Wcte/vXv/6VP2fOnBMmk4mHHnqo8eTJkxvOnTvXIRNARy4WR2Cf/bgQEnRoMvE/zixhP7cj1+ly9zXEftnr3M6M547JkOXaJ5f9nl5uzFkIIe4XQmwVQmzNyMhw/hl4AKosJM06AaMLBpHuoLG6F3/rF07tm21bgK/tB50VuQ+tnonQjacRk1a4W4ruZK1YTcbiL9matk63mO0ydxCZscapfWXJXmzps/EvOaqbntrkYmy+5wr1EhSO9N7Fs1lTmPXCCt79/FN3S/JoXnvttQY333xz1qBBg4rAbkI5evTonJiYGNu0adMajh8//lRiYmIpgMlk4umnn3b4C/Kaa64pjIyMPM/rafjw4fkmk93bq1evXkWpqak+jsZ2ZKYmA6osJogHauKb89ymf6KCbedy7piKxlcaR0o5H5gPdpuE6sn0TCxaCiHGm2jr8xrdnbaIrH2yjTGUSueM4YMN1xMq6pF0xjzmIiD/netJnbMQS1oGPg0dPjnyWHxiGtLw3pE8maDfLKIlIghUJ20ChIIhbARt6r9AEvV101Rb/N5uBWarShIj3S3Fs4iAlA9SiY6tz8Hdx/ll7Q7ufHQwRmPd7mPlCuW9n2JiYsxr1649vGfPHv9Ro0ZV2G9m//79/hMmTNCn7XcVfPjhh/VvvPFGhy2XHElqfgSGCyGaSSmPnHunEKITcBVliYBOpJX9bIj90tYZGvC/2Zs0wADUx554lR/zU7kxDYQQ4sxsTdl6nUjOnwW66CjRNpNr+4ylPg0opu5MuyZqq4hTjxDt87rDi2ML1FXkCSNvUVhD6mqf8PxUEj5ZR/T9t15USU3Odz9z6us1LNFxrdeNeR8TafMhqsnzDu+rFv6ONfcL5tkakmOqe0nNhgMBSFV4Lz9VRFkhZcZfKlkrYfio/oSEB7pXkxup6PKTJzBx4sSGBoNBPvjggzWa1EwHhmNfXDsJexKBEKIp0A+YBpQArzkq4gIcwZ6QXIXdQBMhhB/QF/6pV9wGWMvGLCkbc6aPzpk1NL9Rtsi53LZe2Cu5yq+zuSgpVjfTwDieCUodWU9TRp6hKxnqdDRyMTiYjPmIVjRR4knC8S81j+Vq2D96IjlrfiS0Xw93q9ENzWoj5t+3kcQE3WKa/YuQqpMl3bYMjKFDGes/Rzc9tcmqBh9RYrVdeiXdjnAHlI6wYDAqvPDYB/T7VwIDruviblUeQXx8fMnWrVsD7rjjjvPanbRu3bp0y5YtAb169SqpaF89mD17dsR3330X+vPPPx9QFMfbKThik7BLCHEb9rLrD8s2CyCl7PdiYKSU8rAjAoQQgdg7DIB9jU+sEKIzkC2lPCaEeBN4VgixDzgAPId90e+SMl15QogFwCtCiHT+V9K9A/ihbMxeIcS32Kul7ivTPQ/4+lKofFJlHieVQt6pY2dujcQeupOGxKHF7wBoFPA3+5lbx55zVbQr+YOovDinm8p5Imp+AcdD81io43s1SNtIrBbilBmIZisgRz3OjDr62Tlm8UNaL6Hme87iD5pFcqRQJazUyAC6uLVlgoEIm94l3c7s9+STT6b36NEj/vrrr88bOHBgEcDbb78dPmTIkPxJkyal3XTTTS0GDhxY2KlTJ7Oqqrz44otRSUlJulzx+PTTT4PffPPNhj///PP+oKAgzZkYDr2AUsqVQoiWwL3YS7cjgDxgMzBfSnnKCQ3dgA3l/v5P2e0j7L1p/ou9od5b/K/53tXletQAPAHYgGX8r/neqHI9agBux95870yV1FfAo07orVMUqZsoUL+hnc93XEZ/d8txiCLxC0fkIMzaXoyGvg7tW6rtpoly/UV3YM++fQO7hz9I4f17COzczt1yXMaak0fe+t9o8dyj9Ec/b6tS6w6kzbkF/mr2ciKC+tTZz87cgrewqJeITYKr+ABlrjHzZ3zJjj8OM+fTcW6R4ik9ZWJiYmwLFy5Meeqpp5pkZWWZFEWRPXv2LLzzzjtzY2NjS2bMmHH81ltvbV5SUqIIIRg0aNAFp0TfeOON6Hnz5v1jdHn69OkdQ4cObbZ58+agnJwcY1RUVKenn3765BNPPJE5bty4WIvFogwcOLA1QJcuXQqXLFnikCGmKFcQ5KUSunXrJrdu3epuGU5Rqu4kzfIcx3xHsl6pW5NSAVounc2r8fN5nn6GOxza90Tp3RwzNOB7k57FeO4nYF8ePZ7+m24zXqVem+buluMymsXC3pGPkfFoJzYOTNct7mWpv9BKbUCr2CUO72tOuZ8DQWF8Fumvm57aZGGSL9iMjJrq5ELpS5TcNRqRh5rw9MP3knY8i8Zx+q1bE0Jsk1J2K78tOTn5aEJCwrlVu16qQXJycv2EhIS4iu7zGmNc5KRZJlGibaef8iX93C3GQSwcZb86iyj1GI4YbWuyhFzbYppyD0kmfQwSPYa2sOXPy0l54kU6rv7A3WpcJnfdJrJWfkeHu4YzgId1i1uSdwXSug1Hrz9pJXuxZbxLW/83SOJx3fTUJq8dehObeok333OGa+w/Vi//jfdf/5rXFz9GbIuoC+/jxeNwOKkRQgwD7gYSgRDsl5/+At6XUn6przwvruJv6M4pY3zdPMAJSWdjF/IUX4d8uhXhT5jxHo4Ym/NuXXzeVdDwhWa0TQlCahrCiYV0noRfq6Y0uOP/2NXfxkYd36uEiHq0s/WljaM7GhtgiLidP8Ia8n0d/ew0SfBBWL3N95zFOkByubUVEVEh/LRmO70GdcBk8p7/X4iJEyc2/PLLL89yfh02bFj2jBkz0irbp6ZwxPvJgN0r6Rb+Z51chL0ReRNgiBBiGXCHlNKpBT5e9MWsHSbdkoTiMxp7oVcdQwia2pJRCQRj9Vuc27R0sm1z8RG3gNFxM0xPx1hgRXlxFYXD7iOoa0d3y3GJ9IUrSf/4C357yQCh+pXWxmftItKyDRo7tp+avRw1azE7G/rhtMeCmzm83Yjm+Np6L2WYGgjybj/Kcz9M4/h/VAJD/OnS2+H0+JJixowZae5IYCrCkfTzSWAksB2YDGyUUhYJIeoBVwAvYk94tmNf3OvFzagyi1DDKOKNb9CDEHfLcYp0kwkhHFvboIgQQg2309zwEJdxeQ0pcx/qvaWk7H4Ba6bDLRw8joD4FjQaO5pJsfqW3lsjGqBZHC/IED5NMUTexwOBerbbql3+6vg5JVaVJG5yt5Q6jTpAZdfMI0THRvDRzNXcePcV1Auqm+usLiUcSWruAY5iN4UsPrNRSlmE3RF7PbAbe2WUN6nxAApsX5OjLmOhaIiVuvnP2Ff7iHDpS6RP9SsSbDKNXHUZqYZQvmVtDapzE/7Q5/OVnDQfp/+/6lZF27lkfv4dGdu28vGb+k7uDs9dQqNSC74x/3FoPzXnC8w5y3hZRkMddUP/bo+3+Z4uGIEekLdO4/hSld6DOtKqfYy7VXmpAkeSmljgrfIJTXmklMVCiJXAQ7oo8+Iypdohon1e4lnh2e60FyLb0Ih82xqk1BCieutHBH4EKL1pptxGT3rXsEL3kDG3J6fmL8FWUIgxqO52RDUE1aPZvXfRn0d0jWsONCKNVVnVnY8URvwaPE6ScCwZ8iTWNPoYq83bfE83roT8rkXs/vMIn324kfEv3YrJx7vGxlNx5J1J439raSpDcAnYDtQVrPIwKdLEW3X4jK01vxDPUZqiUV3/VUkxVvk3yfzE2v+Zt19URJWm0O7wfqTZAkHuVuM8pUdTSQvN532dP6NXWlfTwioddzqz/M1JUvmoDv/PHCzwR7Mq3pkaPQmFrGyV0uP+qKqGqQYeYvS/XkooyCvWLVsKCgmwffDdsxfsfRMQEJBYXFz8V/lt48aNaxQYGKi+8MILpzVN4+mnn45etmxZhBCCyMhI65w5c4716NGjpKL9Z82aFbF169Z6CxcuPFY+zogRI+I2b94cFBgYqJrNZiUxMbHw9ddfT23WrJlVr+d7BkdewOXAzUKI5yqarSnrDDwcWKqXOC/OU2D7DrN2gATf9+lBe3fLcZpcsYyT2iNY5Ul8RPXqc1WZiyrzSKAHl3NFDSt0D9oIM388eyWn5n9C7DP6znLUFtasHEr2HqL1yMfpz226xjZrJ9FsjllVS1s2WtGfNAl9nqQ6POH8nnUuFpu3+Z7u3Gi/PXPfPGKaNeChZ24A4PGRb9Ll8jaMGnPNebtosogDxfHVCq9nQqNXvJdffjlyy5Yt9Xbt2rUnKChI+/zzz4NvuOGGlvv27dsdHBzs0DXjqVOnnhg9enSOpmm8+OKLDa644oo2+/bt2+3n56drszxHnvQUoDOwSQjxPPCTlDJXCBEK9MfeBXh/2TgvbkYRQZQaWvOmeJ/SOnwqH66c4HJDcwwiuNr7GER9Agzd+Es5xjpPPVu1aTTce5q0jtHO7W/SiO/nS0l4ulNWAJ6A4u9Hva4d2N88h3k6v09d/f+mg4hyzE5CCUCp142dvoV85amfm2pgbOiLwWr0ztTUEFkdVRo2Cvjn7/jEOIqa51T4egtUeigB522vK8yaNSt63bp1/1gWDB8+PH/hwoWF8+fPD3/yySedahyoKApTpkxJX7VqVdinn34aUpHHlCs4ktScxn55qR6wEkAIYSsXQ2Av8U4/xztDSinrZulNHSbNPIFgLDyt6OkvWvsUyg0cURdQqG4gxHhDtfYpVjdRqP5AFzmFvtxVwwqdo3jKaGwbV+H/6lJMvQY5HsAAp69eyf47x5Gf+H8E90jUX2QNk/fT7+R8s4FOD9/JAJ1n1EoLbkArcqwLuJr3A2ru13SKGkMXrtZVT23y+pGZ3uZ7NcljZ//5wMT/q3RoibaNQ+rUGhZUM2RnZyslJSVK+/btzeW3d+3atWjPnj0uV5506tSpeO/evbq3fHckqTkAeD0V6gBSSuoZ+pKiwOI6fmAzGkpJNHQgRymodkdkP6UjZsOVvKF8g83uaepxtBxoZsC+YGYlrMfGL07F8BlYTO+J12A+kQZ10LTbr2VTIm+7nh09inRtvAfQLkzS2b8/rR3YR/FrSWbElSwJXIeZTbrqqU0adfRB8Tbf8wgMipVEY0dgp7ul6EZV1kpCiGrlCTVl0VTtdqRSym5Syu7O3GpEuZdKKdG2kWF9GUXWfe8XkzQTq+7C11r95CTPtgxfdR0+FRfqeQQd1uwnOC2fuN8d8mo7C0ujAI4GnGLvjQ9TcuiofuJqifRFK8lY8hWb8zdUPdhB2mTvJeq0Yw3OrenvUT9rHYY63js0ZbuRAxfPd2idxiRLaWqrm29GeHi45u/vr+3Zs8en/Pa//voroFu3bkUAvr6+Wmlp6T+XZrKzs43169evljv4zp07A9q1a1eir2qv99NFiZRWwoz30M40jZ7U3XJfABRINanEKgOrvYu/oSdh8kEmKDNrUJhrWAZ3wpzyArd1exuF6q8XOhfrmDzSApaRvWYjjcf8Wz+BtUC9zu1oNOYunm6WpHtsa3hLND/HvkyUgM6YoicwwTRDdz21SXLnlZgtNm/zPU9AgVRjCTDX3Uqc4tFHH0175JFHYletWnU4MDBQfvHFF0EHDhzwX7x48d8APXr0KHjnnXfCH3/88azCwkKxcuXKsJdffvnEhWJqmsa0adMaZGRkmEaMGJGvt2ZvUnMRkqt+TLZtMe/7NkS7CN7iIdb3wLiHbqbKr12XJ9/2OVm2JbwnI6GavW1qmyEbVtPq9Ak+3D2WYz2aOh8oDNru20T08uM0evhOhMEB5083k7l0Fek//szHs/SPPSTvM1rmncC3afUTFFvmRxRZDjIntm42qjzD6p3e5nseg9S43ragWkODQgJsepd0VzWmtLRUiYqK6nTm74ceeuislizPPPNMem5urqF9+/btbTabsFqtYufOnbsDAgIkwNy5c4/ffffdTd95550oKSUjR47MuuaaaworeqznnnuuycsvvxxdWlqqJCYmFq1fv36/3pVPAMLR61pCiCuwV0E1gQrL9aWUcqwO2jyGbt26ya1bHVt06C6k1Dheeif1DP2J8Lnf3XJ0Ic38LEhJQ79p1Rqfbp6GTZ6mkZ/nztSUfPou1gUzCHx/A0q0a11KtVIzRye/jjE0iNhnH9VJYc1z6IkXMYWH0nTyGN1jW07PQyv4Fb+WC6u9T+mhUSiBPfFpqJ9buDvo99wSzDaVLS/f6W4pXoDU0odo4v/ONillt/Lbk5OTjyYkJDhVQeQO8vLylGuuuaZFly5diufMmZPqTi3Jycn1ExIS4iq6zxFDy0bA50B3LtyETwIXVVJTl5DYKNF+55TBn9mcdLccXeghv6CBDKZhNceb5R7S5X7me/CZav8TP9GlIJd52S9xOrq6z6wS/KDjgfXUN0URS91Jaoq27yG3mZEPauB96m9eS4fiU1S3tEJKiVa8jRM+Kh+Trrue2iQ5w9t8z5Por612twRdCAkJ0TZt2nTQ3TqqwpGprlnAZdib8C0EUoFqLQjyUnsUqt8iMZNonEwPXLis4UGcVhTybZ9X2yrBKk8SrfT06IN6qXEKFrGb+wwPYqSzy/G0ZZP4s8sQTryxgCZP3KODwppFLSrGciqdliNG0b8Gyu4tikQVq5BSIqrh4SQtJ0AtIC7wRpKoXusAT2WhYT5mzWuT4CkcU/YDzhcEeHEMR5Kaq4D1UsqRNSXGi+sIAihSInlVzMFCPXfL0YWm/ElHEVxt7yeTiOOYsHn0TE3nBslcHmBkQdCH5BHqcjxh0Ggfb6Gw3nGa6KCvphEmI37NYzkYncG7NfA+JZi20c0vmJhqmlIKJQDh15LtphN87cGfm+pgDfVDsRo8Oqm/lGgvKk1oNE3ThKIo3lYpDqBpmgAqLVF0JKnRgD9dVuSlRjlteZowgnhGvOJuKbqRweukqROxaH/jo1x49kmTReTbltPU9IBHH9SLd92LrdDMo6nDMDXWofGcCXIe2cTOK28nu0l/wq/1bHuIwu17yFmzkfb/HsEAhuge31z8ELa8T5DShhBVH+bUvO/R8jeSKP5LN7pVOd6TefPETKze5nsew1FtW2V37crIyGgXGRmZ501sqoemaSIjIyME2FXZGEeSmi1AW5dVeakx7E33BnBE8WHhRXRACzak0c/QFwMNqhwrCCDEeDOHDY10b72vJ637FDJgVzBz4r/Dwo+6xDR1KiXu0bZo6nbdO/TqjW9MI+rfdC27e5l1b7wH0DIkm95cQfNqJDQAwr8NmRFXstjvMyx8rbue2iSqnS/Ca5PgMcQZKp4ttNls96alpb2XlpbWAQd6xl3iaMAum812b2UDHPV+2iCEGCqlXOWyNC+6U6z9TKb1Ndr6LqA3d7tbjm7kass5rs6jSNtAsHLtBceatT3k2D6gjfJf+njwQb1o7a2op/N56s++mPpfp0/Q+nCIKZwcNhtbzj0YQ5zvf1PTZK74hswVq+n69EMMiBmhe3xz7j3YMj5CNjUjFN8qx9vS36V+1nomNVuJqOO9nV7Z+QaqKr1JjYfwt1rx57tr167pwPW1q+bip9pJjZRyixDiWuBTIcRv2C9F5VUy9nWd9HlxBGkkzHg/O4zRNXL26y4MhlIGGwbiJ6qeKDSKJoQYb2WvsTFvefBr0HKwYEBKCLO6/4yNP3SL6zuhmF6B11CwdSdhV16uW1y9qZfQDu3evryWuAL4VPf4zcJK6Suup3k1EhoAJbAnqcYilhhe1V1LbdO0sw94bRI8hmhj3ekddTHgSEl3PWAcEA5cV3arCAl4kxo3kG17hxzbCjb6NuTCVfd1i3oyDz91PdvUmfQyXLj3TIn2G3m2TzAY23n0hG782oMEp+XRZHsaR3vH6RbXHFMP8/Jv2bH1KP2v/Ea3uHqTsXQV4uPNKLObovnpf9BvnneQyIztyNgihKHqBfO29HmEqachprnuWmqbw8lGNNXdKrycIVo95G4JlxSOXH56FRgCbAIWAyfxlnR7DFLaQApifOeRJEa5W46uSMXGMUMWseKqKscaRQMCDdfSzvAIlxNWC+qco7RXcyy7pjGq5TQUGukau+jrOzj63KsUbt9DYOd2usbWC99mMcSMGc3zfpNqJL41OAHVuhSqOVMj/NsRWm80SdxXI3pqk59aLsViU0nidndL8QLkGjoCN7pbxiWDI0nNDcAfQF9ZU/aaXtStwGAAACAASURBVJxGo5RC7VtSpQ/fkuJuObpiwMJgbTVpMpgeVVTKmLWDFKjreV1OoUiE15JCx7nywEY65WTybloSpxrom9T4G/Pp/t06Mm5twQAPTWoKNm0jM/84CzHXSPweJT/TK/8vfDUzGC58mJNSQ8tbywljIR/j1kapuvD7cX80m7f5nqfQRv7kbgmXFI4kNYHAj96ExjMpVH/AQARdjS/Ss9q9d+sIAo4o2/GX9ascqpGPvxLPePEyCgG1IM45SoNfwmLczz1+YzDSUd/greDUm5dx8qVFqNc8gqGe570Ottx84q68hiQeq5H4VtN72HyyqzVWWtNACSAu6A6SaqC8vLZZWm8BZqu3+Z6nkC0+APR3ovdSMY4kNTvgImlRexEiMFEojLwiXsfiwV/mztJNnKA+0VWmawJ/8oVgKtM82syzW71t9DQJ3vd9j9wauEzWIOgI7SMkeOg5iCE0mCMhp2vEIgGgjbKLAUZBQ1H1eh0hTAhjGMnKAVZdBLMb+X5+YPQ23/MUGovd7pZwSeHIUX86sFwI0VVKWWk3IS/u4bTlWcJFLM+I/7pbSo1wRG5C1XZWOa5Q/Z56WibPi6m1oMp5ig8/iK3kNx7NuBFj0776P8At8PuzAzhw3yTiP6kBG2wXMKemkfPtj7QcMJEBNdR6wGKejrVwDaiFoFzYAUot+AWtcAudDTPpSvca0VObzDo9y9t8z4PI0F7j/hqo8PNSMY4kNSbgG+AXIcQCYBuVl3R/roM2L9XkTNO9o0oAH16kB7LmBiNtZFtaVjEuQLmck8Lm8Qf0Nj1y6b89iLdbrqKUdTXyGDEP1KeF2URbTUMonlMKZgwPIWLYVRzqK3ivht6nmMAjDArrTayxagsK4duCrPB+LPH7lFI8t2KsutRv4wM2b0m3pxCueH2fahNHkppPsZdrC+Dhst/PRZRt9xbm1yKF6lqyrDNp57uE3tzqbjk1wjHtVvJtK5A+H13QoDDb9jbhGEliSS2qc5yidbeiphcwfscATP0u3FDQWbLi17F76L1kxg8icsQ1NfIYzpC79hcyl39Dh5FDGdB1dI08hqVgCtashciYkwjf2AuOtWV+QET2j0xs9jnCgyvmqssru73N9zyJdG0aY90t4hLCkaRmTI2p8OISCoGEGx9kuzH0omq6V54GRgPdGFyl43KwcQSHKWCxh78OLa41cMWREN7s9gsav9fIYyhX2mj6bEc0y3YG4DlJTUB8KyJvH8auq7Qa+7w2DDnJYPO/aOpTtb2nEtibk9FpLDZeuAdSXcHbfM+zCDGkuVvCJYUjHYXfqkkhXpwn0/oGueoaNvpFuVtKjRGp/o2fbRNWLQ2TUvly4UzLa/gYEoEBtabNGdp/u4/gU3k0/TOVI32a1chjaP5GAnflIuYtgVtrph+MM2R+/i0Zi79kyxQFWtWMlUPT/BQiM9cjGx9B+LW44Fhb+juEm/dCbJsa0VLbHNpuRFbqYeyltmmgHnG3hEsKzy0P8VItpLSiiGBifd8l6SK99ARQbBxKhjYVRVTeTE1KG0HG62liuIkkD7dUMfdrhXnvS9wZ/1/+v737jpOivB84/vnO7l5v3B1H770KCkhROHuLGkuMvWtijUaNvyQWjBprIrF3UVGxFyyIKGhUMIIgRZAO0o7rfdvM8/tjDzyOa3vc7mx53q/XvuBmnp353jDsfPeZZ76PQeiSUc/jf2TDTfdS/s0iMidFxuzTif16kHfh6dw8IHQzyfszvsPf4X7E1fKxNVJGk9HhFKZydcjiCaeFg9/A7TNj+vMgmtQYi4E5docRN4JOakQkg8AkXEOANKXUn+qWZwFdgXVKKW+7Rqk1yaKKCv9bbDOczOZnu8MJmW7WSg42P6KT2olDGh/3YFFFpX8W240kZvNDmCMMzlE/zmV48S6e3XIL23O6hWw/LpebCR98RMGYZPIjJKmp+O8iCj6dy0zrdjBCM53H8NolHFM2mwR/EeJofoJKs/Q9dmQMYDpFIYkl3L7akIzSxfciRg+1zO4Q4kpQSY2InAk8CaTz66Dg3WOgehN4Iupi4MX2C1FrTpX5JQkygLGuexkfA4Mcm+I2VrJFVqOUu8k2lqrGJX0YbpzFeA4PY3TBc3dOxZuwkYszrsdJCKv+doSCx8ax/YkZmJdV40hreR6kUFM+P11+cxxTjTtCtg8z8TM8SZtBEpqPxV8Ojmy6ZVzEVM4IWTzh9E7WC7h18b2IUSVfcCnv2h1G3AhmQsspwAxgLYGnnw6DX4tMKKWWisjPBKZTaLekRkQ20XjRv4+VUieIyHTgggbrvlNKja+3jUQCc1edBSQDnwNXKqW2tlectlEmVVLFvdyLj2S7owmZdHYxTgopYBGHMrrJdiKwlKXMJbJLkx/M/xgnJk/wBMXkhHRfnZwbGEoFEVMMXFnsMHbwagh7EnqxgROkmuYr1AAIIsJP8hPvxkjPRoEkoUQX34sUHdFjasIpmJ6avwJFwESlVKmIDGikzRJgXLtE9qux7P2IeBcCPUJv1Fs2Fziv3s8Nb39NA04mkNQUE5hF/MO6QoJRPZ/tLt8d5Bij+LvcZ3coIeWRday1nqebldRkwQCPtQq3tYLRcjCHMCm8AQapZue1+D3/44qKs3AyMaT7UmcpvrtpApv+9gD9Hwld70irYlGK4g8+p9spR4f0ouv3v4Gndib4SyGh6bm1rNrlWDU/MNx5NwdwZMjiCadHSx/B57d0T02EKOdNruYlu8OIG8EkNeOAt5RSpc20+YVA8tBulFKF9X8WkUuACuDNeos9SqlGn5sTkUzgEuAipdRndcvOAzYDRwKftme84ZZiHMpmI4PnY/xbmVM8HOToQ6lRRVP1d53SC49jHI/IO7j5LKzxBWvIAQVMXpjGkz3fpSbUgwgF+p2bizvP02LxwlATETocO5mtk9OYEcJzNie5gFMyx5HSTEIDgKsrjqzj+S6piDkx8n8oq18ieJ26pyZCpEuB3SHElWCSmmQCyURzMmi8KF+7kECRkkuAGUqpmnqrDhGRXUAZ8CXwd6XUrrp1BxGohrznyqGU+kVEVgETieKkpsL/ESX+xxmW9A4TOcXucELKTyGrzPvJ9W9qsqem0nyfRPNbruM5khgc1viCVf3VOZjFVVy/6ghchxwb8v1t7/kS666+narDzyNt9LCQ768ptRu2UPD8m/TtewP5/CVk+/FVv4i37EmsmhU4MpqehsIseQOz9APG93iAiZwZsnjC6cFV0/BbepqESFFiPceNdgcRR4JJajYDo1poM5bAmJtQOQroAzxbb9ls4B1gI4HByncBX9TdWvIAnQET9nm0oaBuXaNE5HLgcoCePZuvSGoXB9lkO//IEkdizBbd20PgAOdBVDhy6dJEkxRjIm7n8dwrrwXeEMH6HSfkr89i2oFfYbEw5Ptz/a6WSauPwPLY+2Ciq3NH8s79LRtOzwlp72JaRhlnZB9O95QDmm3nSB3HtrwTeTHpFSL9nGmtnqMSED1NQsRIcbRutnitfQQzIcyHwGEickJjK+uejDoIQjrM+zLge6XU0t0LlFIzlVIfKKWWK6VmAccBg4BG46xn99NbjVJKPa2UGqOUGtOxY8f2iL3dFfrupsicyXwJTUXaiKIUffw/kOhv+rZSmfkKif7ZOPCFMbC2Gf7xajJ3lNFnUXjGqvvykvG+v5Alt9wSlv01pXzeAnbNeA9WbAvpfrpX/kJOyReo6u+abecrfI7cwtkhjSXc1i11suZHu6PQdutobrY7hLgSTE/NvcCZwLsi8jKQByAiFwCTgXMJ9JaEpNa4iOQRGK9zVXPtlFLbRWQrsHsg804CNyxygfrjc/Igwh+RaYalvDilK70SnmEqp9sdTugJ7HDWkmA0PSokxRiLOBO4Vf4ZxsDaxnPYUDw/38k5Ix/CCPHTT7uVvng0BdPfxldUgis3Oyz7bCixZ1dyTj+OQcdcQT6he7zcTN+CL8uCpOHNtjNSDyQhaSBT5baQxRJu3w97G4/Pz1R+b3coGuAxfuZiPrA7jLgRzDQJRSJyOPAKUH8WuucJ9Hr8APxOKdXSuJu2uhDwADObayQiuUA3YEfdosWAj8Ctq1fr2nQnUDzw2xDFGnKmKqHM/zJbDQezWWF3OGFxlDWdRDWYnMBdwX1UmrMpMb/maTLDHFnwjv3fHIYU7eD5dTezdUzL8xO1h9zKLYyYMZ+uV55rW1JT8e0PFL0/h1m7knGnpYdsP73c6/ld2fu4PH+CxKZuWIJZ8g5lUsVTxM68Al/8nIJlir79FCG6qp/sDiGuBFV8Tym1BhgrIhOBCUAOUA4sVEp9GYL4gD0DhC8FZiqlKustTwOmAm8TSGJ6A/cAu6i7DaaUKheR54AH6gYT736kexmBR8GjUo31LcnGOIa6HmR8CL/xRpLtRjmqmVtLDnLo5Ph9VHyYe/pl40n+Fxd1vBkHjVVHCIGTYM0lf6X4vc/IOLjpWj+hJIaQffgkbu79ABLU3e/gWAk/4079GXE23QumlAJHFjlZZ8bMFAkAszq9iMdn6ke6I0SNfM8f9npYVwulZpMaETkfWKrU3nWelVLfEt5ejnwCt5PObbDcBEYA5wNZBBKbecAZ9ZMf4HrAD7zOr8X3zo/mGjWWqqaCrfyTu/DT9HxIseRAvqQruTQ1qYBJGdup4KkoSGomVi9krM/Nk55pFBK+MVtDq76jk9GL0Eyh2TKzspqSsq38w5qKMkKX1HRUBZxkrmen9Q1jGdFEKwVmKRus5cyMgnOmtTZ7klFePU1CpMhBj6kJp5Z6aqYT6AmxdfIKpdQ8Gnk0QSlVCxzTive7gWvqXjGh0HsPeY6juEXusTuUsNnKL9Rai5pcX2MuoJvzpKj4MK+tuAGffxF/cJ+Pk4PDtt+yyxaw4viLqLhoiS29NRXfLCYrMZfbnf8I6X5MtQS3Zzpd/H2bbKO827BqltMv73Km7lOUPHo9WfUYXr/uqYkUlWo21zLd7jDihp6lO0olOyawxZHFM1FwAW8vfY2dDG6mjyHNMYVNRjJPR8ExGTZwM4d2SOGpzm9SzSdh229yzwrGHz0UI7nlCQRCIfWAIWz0rQt54pnqquTYjO5UJ+xgfBNtxJmFI2MyS5Or+SgKzpnWSumZSIpPF9+LFOlS2HIjrd3opCYKlfvfosz/PCOcc5nAEXaHEzZbrUso87+GUn5E9j51/dYuSv0v01dujooP8+oF52OW1nDd2qNx5R0dvh33g8Ubj2XdH29h1Ldvh2+/dbY/+hJ5h44N+b+R6VmIu/zfJFQrSGmiTfnnmGUfMbrT1YzlypDGE07/WjsNv6mL70WKMus1buRxu8OIGzqpiUIO8nA7T2SaYy5+/mt3OGHTyVHLQRyzT0IDYJBDluNc1jp78GQUfJj3P9okf10mD4/+An+YH8LreEsnhi1OxfL5MFyusO4779yT+WVyKm+E+N/ImeLlmJzh+NMcTGiijZE8jKKcI3gl7Uu8YSiAGC7dD0hAfLr4XqRIdpTbHUJcac1IvSwR6RnMK+RRx7kC7y24zEX4JT4GCO/WydpIsv89/KphcWhwq0WUmS/itH62IbLgDftkNRk7yun1fWiL0DVGLDDu/4Syz8ObTHkLCtn20PPIt+tCvq+c2iKGFq8gs7zpMVj+4tfILf6cZH9Nk22i0fqlTtbYOgpSq6+jucnuEOJKa3pq/lT3ai3Vyu1qbWApN0nGUDo6b2IqJ9odTlhVO46ixHoSg4x91rmkFxmO0xnkuJEJTT4fFTk8R43As+5OzjnwEQyywrpv6zQfG667F39FZcuN25GRnETHs06kx3lXMIUhId2XSnHjya5gUPrFTceTcgDOvD9yfVJI6oXa5ofhb9cNFD7D7lA0wGts5BLeszuMuNGa5KOCwESRWgTwqV8o8T/LFkcSn7LY7nDCqr+1gJHm53RSd5EgvfZaV2stosJ8i1lWKkVGb3sCDMLxX89m0K6tTF/1Z7aMC3PnpgvGff4BqT99R94Zvwnbbmt/3kDhzA8pOKkb80e8HtJ9ZXmLuaTkDdZndGZY6rRG25hl71Nb+jb39OkU0ljCbc4qXXwvknRVq+wOIa60Jql5SCkV2ucvtVarNReTZhzLcOeDTIizDrFqYyEFhhtppC6PQRopRj5XOB7CQYfwBxckz/AueL67jwu73YphQ9WYsseOZ/PtD+HZtpPEbk3O69q+RMg4dAxDJl9IPqFNJJSzAnf6TwxOamYKOEcuybmXx9zF/9PuL+P2WjH1mHo0q5Vl/IE37A4jbsTXVTEG+NR2yljBnUzFirN/vk6sZYJahWLfMRAmhVSqVTyg7sItoSu/314m7/qaA2sqebLyfnaF+ALfmA6e7Yxa+zNmVXXY9ukrKaN8wzqmVd9HbSO3ENtTsqrmXO8PFPvmM5KjGm2jvJvYJcUhnS3cDqvLklF+XXwvUuTq4nthFV9XxSinlJ8S35N0dV7IbTLV7nDCrkq+ZIuajan2fZrAa20giRT+IndjYE8NlmDU+v4Pn/qRy81LcXJQ+AM4EpZ0OZltD09nwGN3hmWXtavXkyTJ3NDpDpyENvFUUkKt9Sp5Zo/G1yuFVbOcztmnxNzF/1n/E/j8li6+FyGq1Dyu0cX3wkYnNVFEKYMk4wDWGyZPxNgHcWukSyH5Rm8csu98Pi7pTpXRk3/wT1r3UJ+9RvRcw6HpSTyT/QqVzLIlhgEHe+nWpTZcM0+R0L0L7oM6c3fi/SgcId2X0/BxYmoqVkIpjdVNFhGMlAP4Ocnk7Rj7v+TolIhDF9+LGOmGLr4XTjqpiSJl5nNUmG9zYMKPTGxyPpvYVWV9wUbrcWqtH0gw9h5cW+5/mzRrPVNlvj3BBanmh4vwV9Ry7abjcXU50pYYtg14gfXX30Xt764ieUDox/UUvvYBid9t5fbE0Bf9U1YpNeUP4kquoLEhVpZnE2bJmwxKvTfmejT+vek/uvheBCm33tLF98Ko2aRGKRX5X3njiJNuuJ0ncb8xE4vwV4O1m8uoZbRjGCWGmykN1qU5jmankRk1H+QDDveSvzqTR0d8gZevbYkh+YQKDl46ERyh7TXZLeuISewakRiefyOH4qjc4SRn5HBgY+udnXBk/54fMnOYHSXnTGt1G5EAuvhexEg29MPD4SRKKbtjiHhjxoxRixY1XcQrXH6uHoRDOtA/JXaqnwaj2vyGDbWH0C3xKbJdl++1bk31UAxJoX+K/f9OrVF945mYC+aSfPcLuPLtqTdkeb18nTKUTuf+lkHTHwz5/r4feBjO7CxGL3w35PtSZjU1izJw5l1GYp8n91nvL52FZ81JJPZ/E2fO6SGPJ5xSz34Iv6XwzPyz3aFoQKlvBtkJ5y1WSo2xO5Z4oG8/RQlTVZDqyGeTcygz4vQbmCE+DnIOo9RwMbnBugznaWwwvFFzbPofa5C/MYOHxy3Ab1e9oQTo8uQ4rE0eBiqFiIR0dzmnHM2WkYSppwYOzzuI9MwejY+pSRqII+dMvs1M4YsoOWdaq8eoBAzdUxMxkg09TUI46dtLUaLWWkKp/2mMOK6DmEo5PfwrSTCX7rOuxPc4CWb0FCMcPG8d6Tsr6PbjDlvjSFlXiTwwG39ZRUj3o/x+tj82A/kyPNNYGJbJiKKlZJU33qtplc/BX/w6S3wfhyWecNq43Mm6lXZHoe2WrcI/FUo80z01UcJjrSbLeSEjnLcz0e5gbGJJNZuNjfSRvW/XWMpLimMyXR3nMpXTbIouOLUH9sC35D4u6P0PDBp/7DgcfH+tYPXK66n6YQUdjpgUsv2YtW6yphxM199dxBQODdl+9jDA3WEzqSlN7MvZEWeHU7k26WEkxr7bzev9Gm6fn6mcZ3coGuA2VnE5b9odRtzQSU2UcFvLKbIW8FwcdyknUM2R6it2MpQJ/PrEkMKD21rEatWN2Sy3McLWy9/yJaMrSniq5G4KuoSpom8jXD434xYtoHhDT/JDmNRY1bVULlrGsh1fMZ/PQ7af+i6qmY0vwUt/LttnnfKspbpmAfer27EkPAOlw2VJQTKWLr4XMTpaG+0OIa7opCYK+FUhVf5P6JNwJ1M52+5wbGNSyXpmkUP/vZerEsBgqHEs4wnfXEb7w+26Ha/xE5c5/oiTUfYFkgsbL8ym/IXvaOTa3268O3YhCQkcOOA48ht/Hqnd1Tq/wFDdG12nPFtITT6Q24zwFB4Mp5edT+PBjLlH1aNVtfyXq3nJ7jDihk5qooFy4jL6sFK28Vkcf/sy8DPB8FPEzr1uwRkkkyC9WSabmBslx2d03jImJjt5Ln065WGepbuhbt1XM7BnaD8KHOmpJPXpzg+Zq5jPByHd127HJZaT4apudD5wcXVmm1HES1FyvgTDk5kEPofuqYkQGRTYHUJc0UlNFCjy3UeNuYDxSe8yKcTl5SOZRTWrzGlkG1V7La+1llBtfcUodSuH1LstFclqVl6Gv8rD1dtOxtXtMFtjqRizhKXXnEbhaR/R8XfNTAC5H8rmLaDi2x8YZ9xDPueEZB8N1VTNxPA3PkjTXzyDrqljYvLCP23bw7r4XgSpUO9zA/uWFdBCQyc1USBBBlDtOok7eRAI7WO3kU0x2jmYXKMDXeotTTQG4nFM4WHHp7YVsgvWwElVTFmWwaNDPsXLl7bG4hzkpf+F/bA6/UJ+iPaROnII6qxxPNjzhbBNxDoxpxPdXH0Z1sg6R4dT+DklmXdi8MKfNzQR8eppEiJFspTaHUJc0cX3WsHO4nuWcrOyOo0OzgvpnvSsLTFECqV8rKhOIct5Dj2Spu9ZXuR9iB3eP9M/eSnJjgPsCzAI1TedhfntZyT/80VcU0LTOxKMRcOPwUhK5MBFobk1tPbKW9nx1KtMKl+GIy01JPtoqObHQYgzm+RhC/Zarvwl1CzOxdn5WhJ7TQtLLOGUes5DmKbCrYvvRYQy36t0SDhHF98LE91TE+H8qoAOzovY4JrCs/H+zUtghHMsXRx99noIOtk4GLfzWO4z3gFCX622PfQ/ziB/QybTxn6Dxfd2h0P2/T0YOVuwPB6MxMR2337m5HFsSy/hzrQH2n3bTTkorxf9GMjQhiuMVBy55/NjzhA+jsH/Uz0PSEB08b2IkezQxffCKbYKNMSgcv+blPqf5X/ynd2hRIQ+/sUkmF/ttazCfIdE/2e4cNsUVfCGzFlDxs5yei2JjMJcSdtqMB6ZS/WKNSHZfsGLbyMzw3sODyleSW7RnH2WW7UrMYteJLUmNL+r3TYsc7J2hd1RaLtlm1vtDiGu6J6aCOe3CunkupcbjZvtDiUibHPuIsnY+xZTogwl23kxf5f7bIoqeO6JffCuuJfzBtyDQVe7w0FdYrH6yz/j3rSV9IPafwb41AOGkDnlYKZwRbtvuyneDokos3Kf5WKkYWQdz+DMPzOVbmGLJ1y+HvA6Hp+fqWEakK01z22s4XLesjuMuKGTmghXaX1IudGbx6m1O5SIcJT5JglsIYc/7FlWa31PkTk7qm7PHbF6HiNLC3lm51R25Nmf1IhlMeHLz9jVzcuU045r9+2Xz1tARZ9Eng/j460nV79OF7+Lzvxzr+WWZyP+8s94wf8PdiV2aeLd0WvB5mSUqYvvRYo8td7uEOKKTmoiWJV/PsryMzLpYcbSz+5wIsJG+YEkGbzXMoWPbOOwqPoQd2cl4HWu4ZKka3DS/j0jQXPCtv/rz64X3273cTWWzwci9J9wLFO4qN222xJvUjVWbSO3mPwlOJIGc0XivQgdwhZPuLye/hxeny6+FylqZCFXMcPuMOKGTmoimkG14WQaj1JLpt3BRISxxiZyydnrkW6DNLbLLzwfRUnNmJTFTHDBo4nPUhYhF9bOaesYkukHo32H2olh4MxMZ23aLzwTxn+jCcb3DHYk0KvBcmUkUeGEh+R+fLT/oGi7lScmoUQX34sUmdg7aW280UlNBNvhvY5s6cPNxkN2hxIx1lrv4ZLivZZVmrPo4pgQVR/iNRuuwF+7gKsLT8fZKwwTPLZC7cSNLLrsGHa9/C6dLz6j3bbr+WUHZfO/Y+Cpx5Ifxmk+PJ4LMCvn77PcKv+U9NoC/mb8E4nBuk8PFzyMTxffixgV6iP+zNN2hxE3dFIToZQySXVMYZMkMV1/OO0x1JFJT+lF73rL0h2/YZMjJaom+xw0rpQpi9N5vP8s3GGa4LElRlcfA8/uidl1J+05xaazYzY5Jx7OmoN9PB3Gf6NhGeUc6Nj3xq2RejA7pYiX5Y6wxRJOOQMTEL9+pDtS6OJ74aWL77WCHcX3ynyv8YvnbHonzSHdeVRY9x3J1lQPwZAs+qcECqqZqpKfqrPIdl1Bt8RHbY6u9ar/cjbmN3NIvuclXJOPtzucPZaMPwWzoooxP33WbtssnjWXlSddxtB3niT3lGPabbstca87B7PkHVLG1iDya49M7YpxKKuGlJGx+dxz2jnT8JuWLr4XIcp8r9Eh4WxdfC9MdE9NhBKSqHH9noccX2Lxjd3hRIwBzh70lSF75uk2SAkUJ3QMDut4jf3V7ziDwzZkMm3M11j8z+5w9si+PYeRs3OxvF6MhIR22WbKsEF0PPskVhxhMT+M/0b9si0muH5Df9n7FpOjw29Z4yzmrSg6X4LRc7QuvhdJknTxvbDSxfciVIH3r7jMlVii8876eprLSPJ/uudnj1pLqf85XNZKG6MK3rDZq8nYUU6vHyKj+N5uidtrMR6eS9Xi9uvFKP7gMwpf/YDvt8xut222Rr/yNXQqeA9l7V0OwbfjQbLK7a/iHCrrljhZs8zuKLTdcs1f7A4hrugrZgTyWOtJMg6gR8KtHMhwu8OJKLucCShl7vnZQRbpjpMZ6Lie8Qy0MbLgeCYPwrP6Ls4bcj8GnewOZw91ocnPX96Er6Ss3baZPLAPHc85mRuH/hsJ4/cof+YY/ObrIL/2OCnlx5F1Ip2zT2MqJ4UttCMVFQAAIABJREFUlnBaOPhN3D6TqZxpdyga4DHWcxlv2x1G3Ij4pEZEpgK3N1hcoJTqXLde6tZfDnQAvgOuUkqtrLeNROBB4CwgGfgcuFIpFZH1qz3WKsrMt3mHTMoioNpsJDnEfJlslU4nbgXAqzZSaX7INjWRz6ixObrWO3rpXIYVFfDsllvYnhM5VW3Fspg0+xMKOtYw5YTD22WbFd8sYtcnc3nTcxtWcvg+cibUfMn4su9JNB8DZ0ZgoVmFWfYem5NdvMYPYYslnL5an4yli+9FjE5qrd0hxJWIT2rq/Azk1/vZrPf3vwA3ABfWtbsN+ExEBimldtdInwacTCCpKQb+DXwoIgep+l/7I0SZfwZ5zpu5znG33aFEnG1ShkX90vc+EmUEY40zmURP2+IKlqdbOp6Eh7g46wacDG75DeHigm1/703RrM9RloW0Q80aMQw6HnkYtyXf1Q4Btp4/+U28Sf+CemNqlFmJJPSlf/p5TGVKWOMJl3eyX9DF9yJIjSziSl61O4y4ES1JjV8ptbPhwrpemuuAe5VSb9ctuwDYBZwNPCUimcAlwEVKqc/q2pwHbAaOBD5tuF27KeVls7GFJ/U3rX0cwAK6S4c9s3QrFNVSwTT+TQ1ZtsYWjPHmd4wTP09Yj1FMjt3h7KW7rGKAWQ7t9GSk8psUqp1h7zkYxAoOp5zkvX4PBVgsZQmzmBfWeMKlgCQsdPG9SNGByBo3F+uiJanpKyLbAC+B20t/U0ptAPoAnYE9U/EqpWpF5CtgIvAUcBDgatDmFxFZVdcmopKaEt/zVJqzGZ24ioP3qYWqbVZL8dXLb2vNxSRYhfxZbsFJro2RBadm15/we77nioqzcDLR7nD2UjXlJ5bc+FuKP/yc3JOP3u/tlc79ho49u4b9Iuszn8Fb+zHKLEfqbj9ZtStR7p8YZRzCQcTmE7aPlT6Kz9Q9NZGiUs3mOp61O4y4EQ1JzXcEbi2tBvKAW4BvRWQY7KkR1nCWvALYM/1uZwK3q4oaadNkjTERuZzAOB169gzfbQ1DMql1Hsp98hQm7fNIbSwZ4Kihv+q355HuRGMItc6x/JNpWFFxOgcMGbmDyQvSeLLnu9T8mm9HBFc3NwNP7orZcfNe93zbKmvKOLb0quWNMCc1XZK3cnzmQXR3/toTJgm9KM0cx6uJM6nhw7DGEy6ZfRPB59Q9NREiVUrsDiGuRPxVQCn1Sf2fRWQhsAG4AFi4u1mDt0kjyxpqto1S6mkI1LYeM2ZMWCoUmqqcX9y/p5vram6Vf7b8hji0wTwcn7WQ3VP2lPtfI8n/LbcmfhbWJ2v2V/VX52AWV3H9qiNwHXKs3eHsLRf+tySfxL99DvMv269NWR4P2x55ia7nn8JUwjumxlf9KN7S57Dca3CkjgLALH2HDmULuNF6BWOvutSx48HV0/BbepqESFFmzeQvPGJ3GHEj4pOahpRSVSKyEhgAvFe3uDNQvxhAHr/23uwEHEAuUNigzVehjTY4PmsLOc5rWOcaHdZy8tGktyOVwUb+np/THMewXSzukH/YFlNb9D0WDl+fxbQDv8Lak5tHjk63dWfI2uz93o4kJNDpotPYfmYPXg3zOZ2VWcSpOUfQPWnQnmVG2kR25f2GFxNegBic9wmgx+gExKuL70WKJEeF3SHElej5altHRJKAwcAOYCOBpOWoBusPBb6tW7QY8DVo0x0YUq9NRCjw3kah/xm+MDbYHUrE6mGuJMn/622DEt9TJPqjb8DniI9Xk7GjjD7fR2ZhruSNVRh3zcK9af+qHtSu2cDOp16DBevbKbLW6175CznFn6Oqf53ixCx6kdzCT5AWO3Kj13pdfC+idDQ32x1CXIn4nhoReRCYBWwh0LtyK5AKvKiUUiIyDfi7iKwG1hAYc1MFgWfolFLlIvIc8ICI7OLXR7qXAXPD/fs0xWttwiEd6J88h6kRNnA0khQ7O+Oztuz5Oc1xBBmcwlSutzGq4HmOGIZn7Z2cc8A0jAh7+gnAd00p61bfjr+0HHp3b/N2nB0yyT31GHr/7mryw3y7x8zYiK+DEyP510fmjbQJJCR04/Yo69kLxuLhb+P2mEyl/WZa19rOY2zkUt6xO4y4EfFJDdAdeI1fbx8tBMYrpXanv/cTKKj3GL8W3zu6Xo0agOsBP/A6vxbfOz+SatTUWosp8b/IWy4nZRE2cDSSjPe/QSerms6JgTFH5eZbVEoGjxFd86scu3AOQwq38/y6m9k6pu1JQ6gk1lQz4Z2PKDg4jfzRbR/fVbN6PUXvzmHXZcOY37+4HSNsWR/3Wk4rfRdX5+twuDoCYJa+T4VvPY/3iN1B+HNXp2CZom8/RYgu6me7Q4grEZ/UKKWarfWtAtOMT617NdXGDVxT94o4flVCse9ReiW+yXWOU+0OJ6IVGE48rAZAKUUCventOJ6pXGFzZMHxDMjF882DXNTxZhwMsDucfXWH9dd2QK1z7992lCJ9/CiGjT6TfDq2T2ytZCWuwZ26DnHWq1/kyiMzbQJTuS2ssYTTh51fwqOL70WMWlnKH5lpdxhxI+KTmrig/PitnayU5cxB3wxvzgjm0Burrnawwk8ha1nKI1H2rXRS5QLGeGt40jONwjBf7FtrUOUCupZk7nl8vi2s6loqirbzL9/9eEhtt9hao6Mq4GT/WnZYXzOWEYGF/iK2Ot28HGXnSzA21SZj+fQ0CZEim8gcNxerdFJjM1NVsKZ2OB1dNzPQeYMeTdOCrWortSow8NOkBK+1lgFyAeOjrKemtuomfP7F/MF9Pk4OtjucRhUe9QlrLryJ2rUbSR7Qp03bqFq2moQKk790uAMHKe0cYfMsllPre5nO/kARS2W5saqX0iPtj0ytmzssFj1V8zhev+6piRRVai5/4nm7w4gbOqmxiamqsFQ5Tskjw3ECawyTx/Q3qxb1NbYzuG7AqUEqKY5DWCVu5kbZsRs2YCOHZqXwVOc3qeaTlt9gg7R+JYyd0h8jNbnN20jq1xPv4f24K/FeVJgftkxxVXFceheqE3YyHkBcGOmH8FMyvBdl50swkrolkuTXxfciRZoR3rFk8U4nNTbZ7vkjFf5ZDEsrp3vSC3QHJtkdVBTYbJ5CjRWo6+K2llFpfsAw56kcEmVPP1UvvACzrIbr1h2DK++olt9gA1/PMhbOGce2aS/Q9/6/tmkbhTPeI3HRJm53hn9MgeVbRm35v0io9EIKKPc6zJI3GZY2nlFRdr4E41/rp+E3dfG9SFFuvclNPGp3GHFDJzVh5Ld2UW19S6bzt2S7rmKrI/zz4US7nk4YZh0BQIIMINPxe5YZycyLsuPY/0g/+WszeXjU5/j5xu5wGpcNfW4ajDnIom8bN5F1zGQKD8605Tx3JPk5NmcEZpor0FPj6o4j50wWZeXwaZSdL8HofkAC4tPF9yJFkhFdT2ZGu6grvhfNin2PssV9CvdZ1/OA41M+dYV3jEEs6Ob/iSTfBwBUmbMpN19npZplc1TBGzZ7NRk7yun1fWTP4JuxqBi5+c02v3/7tOeRD5e2Y0Stl+EpZ2jxcjqULQDAqpyHWfwaKTUbbYknXNYv1cX3IklHc0vLjbR2o3tqwsBtrqTMP5Mc1zWkOg7jZuMwu0OKWqXOvrhlJQCJxnAyHWfyB+NpHLR93IcdPEePwLP+Ts458BEMslp+g03Kb/sNO599HX9FJc6M9KDfn33SkfQcNZQpnBKC6Jqnkkw8OeX0S78IAEkaiKPDGYzIvJ4DyAh7POGyZMQ7eHx+XXwvQniNzbr4XhjppCYMKs3Z7PLdw0uuSmqcWcCXdocUtcaZb9HNLKAL91FtzqPMfIPXyaOaDnaHFpQTvprNwIKtTF/1Z7aMC98s8MHqtGUDQ1/8mq5Xnkv62AOCeq8yzUBCdOZBPHHujyGKsGkp/ir+UPIqm5NdDMqYhFX5Ff7St3jGm0OxMy/s8YTLpytTsCxdfC9SdFWr7A4hruikJoQs5eYX95lkOS9iaMp2Rhqx+0EaLkWSRY2xGAAHnUg3judG+RcSZady7Ygu+P53Pxd2uxWDtj0uHQ7W6T5+mvEH3Ju2Bp3UmDW1pI8bRbeTzmcK4e+dVA4f7ozV9E08BgBx5uDIPJqrkx5Cdk/zHoPm9JiBx28ylQvsDkUD3LKCP/CG3WHEjei6EkQZhRe3tYKf+JJPjSV2hxMTRjCHPqqcnoCfbZSpZdzJVKwoO5UnF3zNgTUVPFl5P7voZHc4TTL8fsauX0zRts7kc0JQ77XcHmrXbGB58QLm29A76VQ+LvAspMrfmyGcgfJup8azgn+rO/ARu9Mk/FSajPLr4nuRIhc9oWU4RdeVIIqU+V5nh/c6+id/zyCjOxPsDihGbKeC6roLpE9tIl06c5vcZXNUwas1/4ZPLeNy81KcHGR3OE1LhrX5iuq318B1wb3Vu70Aq7qWUT0OJz/w/FFYKcNPLW/TyR+o2Gx5NpBidOTvjrbPZRUNnreexGvp4nuRokrN5xqm2x1G3NBJTQhYqhZD0qgx+nK/PIqPJLtDihl9ZTVDjMBFyiW9KTU2RuU30pE9VnNIegLPZs2ggsh+eqv70HUM8Ac/ENvZIZPUkYNYmree+cwOQWQtUZyY4iAhsZYRgJHQkx0pnZgehedLMKRjIgk+XXwvUqQbhXaHEFd0UhMCWz2XUGXO5aDUXZH8HTwqbbHOpsqcC0C5/3Wyic4P75olF+OvcHPN1hNxdTvc7nCatTPjLdY8dxNVV60kbfSwVr+v7PNvKZu3kDHeW8jnnBBG2ASB6opHcchW6Aj+ktfppPxReb4E46HN/8Gni+9FjHLrHW7kcbvDiBs6qWlnbmsVqcZhbHN00h8qIdDD4WaEBJKADMdJrJfCqJycsP8UN4f9lMGjw+bi5Su7w2lW4uFVTDxnPM7s4B49Tx01FHXOeP498FXbxjxN7jiE3JRejAQcWSeyztjBG1F4vgSjy3BdfC+SJEuZ3SHEFZ3UtLOt7guwVCUTUlfpcTQhsNl/KlXmx5AIhb4H6Oo4jKn8x+6wglb96ZmYBRXctHgSrinBDcANN29CIQtfGcf2bi/T977/a/X7dr38LjJjAX+d9hiuFHseua8ufAJHahrkgm/H/fRNP5SpXR62JZZweeDHhzAtpZOaCFFqvULr/9do+0snNe2o3P8emc4zWe1I41X9gRIS3Z0wwjgBpRRZzvPZ5OjMC1F4rPsd5+CwjZk8PPYb/HxvdzjN6wx9bhuJ1cMT1HQJGZMO4hd+4e4c+5LO8Z2H0t05lOGAM/c8VmV0iunJLAF6jkoA3VMTMZL1NAlhpadJaEeF3nvZ6n+azx3b7Q4lZnU115Lk+xiLCkr9T+OyorMe/JDP15K+s5xuP+6wO5RW6fDFTuTRz4N6T+FrHyCvLgxRRK0zpHglOcXzUP4K/LueJr0yOs+XYGxY5mT9Sruj0HbLVpE9FUqs0T017aTIO40UYxJ9Em9hdJRVt40mRUZnap3/AxSpxpH0dlzFOCbbHVbQasf2xLf0Xi7o/Q8MetgdTouK/28yO555DbO6Bkdq6+YsSx7Uj15D+zOVG0IcXdM8WSaIAiyMjCPo1eEqpkbh+RKMeX1fw+s3mcq5doeiAW5jNZfT9vnTtODopKad1FqLKbSW8bQEPz+O1noj1Wz6WAV0UhXUWgtZpj5jDl/YHVbQDtv4JaMqSni66C52dulidzgt6lKwlsHfLsesqm51UlO1eDkl6TW2PkL9W/ebdFTZdDEvx6peyE/ez3gnCs+XYCzZkYyli+9FjI5WbE+gGml0UtMOCrx34rFWMTp5KQcidocT03bip5p5mKoUQ1I5wDieiVE4JNudOBWvsYpLE67ESXDTD9jBffhWfkw9i6rFK8g+vuUpD5RS+IrL6D3pCKZybRgibJzHtRPl3Y7ylyBGKsMST2CkDYUAw+nlhKfxGpYuvhchquVrruYlu8OIGzqp2U9KKQzSKTPSuEPusDucmNdPFjFEEukuqbikJz+wms/51O6wgjY6dwkTkxw8l/I85VFwu9KVXMvwXj5qU38mvxXzOIkIid07szGv2NaB3BNcqxlIOr0caUhCT753rGK2LYUAw8edngR+h+6piRAZFNgdQlzRSc1+KvY9wk7vTYxMWccYetkdTsz7xbqAKutTasyF1FgLGMNjHMpFdocVtJqfLsNf7eGaglNx9phidzgt6wQL108k86lV0IpwPdt2UvLxfPpNuoF8Lg99fE1w156BVf09Ztq3WFULGMfjjI/C8yUY07Y/jF8X34sYFep9buBJu8OIGzqp2Q+BXpoUal2ncq88E3WTKkajHo5KRnAovY0ReJxT+JcxEz/v2h1W0AZOrCR/WTqPDfwED/PsDqdVel+aR+8OaQxpRVtnbgdyTz2G9fkunrPx4josy8vohIPpkzKS4uwpvJz4Gj7esS2ecOg0RBffiyTJUmp3CHFFX4X3Q7X5Bdu8lzEg8SXGyXl2hxMXNvtPp8r8hHIZSKJ/HjcnvIxLutkdVtCq556FuauSG5ccGvHF93b7afkVlMx+D669u8W25V9+R+HMWQw98Qjyx9jXM+IuOxOz9H380pucknn8tdcMDEdX2+IJhwdWPIRp6uJ7kaLMelUX3wsjndTsB4+1njzXnfzozGW+/gAJi25OGGmcSE/HZLaoldxtPGN3SG3S7ziDwzZmMm3sN1iRXnyvTua1itE5Y7G8XoyEhGbbJg/qR8ezTuKn45w8buP/jX45MNF1Ar0y8tlmrualhKdtiyVceo7SPTWRJMmhi++Fky6+10aW8rLDey1b1ELmy3d2hxM3upmrSfLNosz/Gkn+2aAsu0Nqk2GfriFjRzm9lkRPYa60FWUYT39JzU/rWmxb+vE8Cl/7gEWb7B2U27d8HXm7PsBf9Aq5RbNBKVvjCYf1PzpZu9zuKLTdcs1f7A4hruiemjYq879CB+elDEm8l7Gk2R1O3CgxelDj/B+JxlA6unKYKv+wO6Q2cU/qh3flPzlv4L0YRH6dGgDvGSWs+eRGMFouW5DYsxu5Z5zADSOnITjCEF3jfJkHYvpfRVJHk+jqyNQ4eELx6wGv4/GZTOVsu0PRALexlst42+4w4oZOatqo2pxPkfVfnpFcu0OJK6Osj+htbiebUoqs5TxFdBY7PGLVF4wsLeTZ7bezvWN0jPFILiln3NyvKDpvMPkjmx8uXPXDcgq/+JK33LdhpbrCFOG+Dq79LxMrFpGoPJR7V/MEGbbFEi4LNiejdPG9iJGn1tsdQlzRSU0bVJv/pdb8niFJnzKaAXaHE1d2GU4qrXmAQSfj6Kj94HZnJ+J1ruPi1GtxMtzucFpF9fWzdPQW8nZ0bLGtWVlNzqQJ3Jba8qDiUPInzcTrKgYMMlOPitrzJRhvpD+Px+fTxfciRI0s5Cpm2B1G3NBJTRsILqpE8bA8Rg1ZdocTVwbwLYPER2fS2CrFPBOlF6kxSYsY74IXnE9TSrbd4bSOWByQWUB58mZaet7MkZpCcUa17UnEAFnFEU5FliONX5zFvBKl50swyhKTUIYuvhcpsoiOSWtjhag4GDi3v8aMGaMWLVpkdxiapmlaFBKRxUqpMXbHEQ/000+apmmapsUEndRomqZpmhYTdFKjaZqmaVpMiPikRkT+KiLfi0iFiBSKyCwRGd6gzXQRUQ1eCxu0SRSRR0SkSESqReQDEeke3t9G0zRN07RQifikBsgHHgcmAocDfmCuiDR8ZGQu0KXe6/gG66cBpwFnAYcCGcCHImJfZTBN0zRN09pNxD/SrZQ6pv7PInIeUA5MAmbVW+VRSu1sbBsikglcAlyklPqs3nY2A0cCn4YgdE3TNE3TwigaemoaSicQd8P53A8RkV0iskZEnhGRvHrrDgJcwJzdC5RSvwCrCPQAaZqmaZoW5aIxqfkPsBRYUG/ZbOB84AjgBmAc8IWIJNat7wyYQFGDbRXUrduHiFwuIotEZFFhYWE7hq9pmqZpWihE/O2n+kTk38AhwCFKKXP3cqXUzHrNlovIYgK3lk4A3mluk0Cj1QeVUk8DT0Og+N5+hq5pmqZpWohFTU+NiDxEYJDv4UqpDc21VUptB7bCnomZdgIOoOHsk3kEems0TdM0TYtyUZHUiMh/gLMJJDSrW9E+F+gGeybdWAz4gKPqtekODAG+bfeANU3TNE0Lu4i//SQijwHnAb8FSkVk9xiYKqVUlYikAVOBtwkkMb2Be4BdwLsASqlyEXkOeEBEdgHFwL+BZQQeBdc0TdM0LcpFfFIDXFn35+cNlt9BIJkxgREEBgpnEUhs5gFnKKUq67W/nkCNm9eB5LrtnV9/bI6maZqmadFLz9LdCiJSCfxsdxxRLJd9nzzTWk8fv/2nj+H+0cdv/wxSSqXbHUQ8iIaemkjws542vu1EZJE+fm2nj9/+08dw/+jjt39EZJHdMcSLqBgorGmapmma1hKd1GiapmmaFhN0UtM6T9sdQJTTx2//6OO3//Qx3D/6+O0fffzCRA8U1jRN0zQtJuieGk3TNE3TYoJOajRN0zRNiwlxn9SIyJUislFE3CKyWEQObaH9CBH5UkRqRWSbiNwmIhKueCNRMMdQRPJF5H0R2SEiNSKyTEQuDme8kSbYc7De+waISKWIVIU6xkjXhv/HIiLXichqEfHUnY/3hiveSNOG43eMiCyoO/+K6v5PDwxXvJFERCaLyAd11wMlIhe24j36OhIicZ3UiMjvgf8A/wRGE5gH6hMR6dlE+wzgMwKTYI4FrgVuAv4cloAjULDHEJgILAdOB4YDTwBPi8jZYQg34rTh+O1+XwIwE/gq5EFGuDYew38RqFZ+M4E54I4nTo9lGz4H+wDvA/+ta38kgSrtH4cl4MiTBqwA/gTUttRYX0dCTCkVty/gO+CZBsvWAvc00f4KoAJIrrfsFmAbdYOu4+0V7DFsYhtvAG/b/btE0/EDHgJeAC4kMA+a7b9LtBxDYBCBCW6H2B17JLzacPxOJzA9jaPessMABeTa/fvYfCyrgAtbaKOvIyF8xW1PTd033YOAOQ1WzSHQm9CYCcB/lVL1s/FPga4EJtKMK208ho3JAErbK65o0dbjJyInAL8h8A0vrrXxGJ4MbACOFZENIrJJRF4UkbwQhhqR2nj8FhFICi8VEYeIpAMXAN8rpfRUCi3T15EQitukhsBcJg4CXYD1FQCd920Odcsba797XbxpyzHci4j8BjiC+KzjEPTxE5EuwDPAeWrvCVvjVVvOwb5AL+BMAj1d5wGDgVkiEm+fiUEfP6XUJuAoApMKe4ByApMK/yZkUcYWfR0JoXj7D9yYhoV6pJFlLbVvbHk8CfYYBhqJTAJeBa5VSv0vFIFFiWCO3wzgCaXUwtCGFHWCOYYGkEggMfxKKfVfAonNOAJjHOJRq4+fiHQGngNeInC88oFK4I04TArbSl9HQiSeT8AiAveFG2bGeeybRe+2s4n2NPOeWNaWYwiAiBwCfALcppR6IjThRby2HL/DgdtFxC8ifgIXl9S6ny8PXagRqy3HcAfgV0qtqbdsLeAHmh2gHYPacvyuAqqVUn9RSi1RSn0FnAtMIbjbzvFKX0dCKG6TGqWUF1hMoBu1vqMIjP5vzALgUBFJatB+O7CpvWOMdG08hojIZAIJzR1KqWmhizCytfH4jQBG1XvdRuCJi1HAm6GJNHK18Rh+AzhFpF+9ZX0BJ7C53YOMYG08fikEEqH6dv8ct9eUIOjrSCjZPVLZzhfwe8ALXErgsc7/EBi93qtu/T3A5/XaZxLIsmcSeBz5VAKj2G+w+3eJomOYD1QDDxD4trL71dHu3yUajl8j778Q/fRTsOegQeBC/iWBR5JH1/19IWDY/ftEwfE7HLCA24EBwIHAbGALkGr372PD8Uvj1y8ZNQS+aIwCejZx/PR1JJT/HnYHYPeLQK2KTQQGvC0GJtdbNx3Y1KD9CAL1LNwEurFvJ84fwwvmGNb9rBp5bQp33JHyCvYcbPDeuE9q2nIMgS4EerYqgV3AK0Anu3+PKDp+ZwI/1CU/hcAsYKjdv4dNxy6/ic+06c0cP30dCdFLT2ipaZqmaVpM0Pc/NU3TNE2LCTqp0TRN0zQtJuikRtM0TdO0mKCTGk3TNE3TYoJOajRN0zRNiwk6qdE0TdM0LSbopEbTNE3TtJigkxpN0zRN02KCTmo0TdM0TYsJOqnRNE3TNC0m6KRG0zRN07SYoJMaTdM0TdNigk5qNE3TNE2LCTqp0TRN0zQtJuikRtM0TdO0mKCTGk3TNE3TYoJOajRN0zRNiwk6qdE0TdM0LSbopEbTtEaJSIKIrBWRj8K8XxGRpSLy33DuV9O06KeTGk2LYSJyqYgoEfmkmTYf1bW5ssGqa4H+wG0t7GNN3fu/baHd/Lp2+c21U0op4HbgEBE5vbm2mqZp9emkRtNimFLqWeAD4FgRuarhehG5Ajge+EQp9Xi95anA34HPlFKLm9q+iBwGDAAUMEFEhrdT3O8Dq4C7RUTaY5uapsU+ndRoWuy7DCgE7heRQbsXishA4EGgGLi4wXvOBrKA6S1s+/K6P+9v8HN7eBEYCBzRjtvUNC2G6aRG02KcUmoXgcQmBZghIk4RcQIz6pZdrpTa2eBtlwBe4L2mtisiOcApwFrgFqAAOFdEktop9Jn1YtE0TWuRTmo0LQ7U3c55HhhDYIzMbcBYYLpS6p36bUUks67dD0qpmmY2ewGQWLcNP/AK0AH4XTvFvBnYBhypb0FpmtYaOqnRtPhxHbAR+FvdaxOBwcANTQAcwKIWtncpYAEv1f38Qt2f7XkL6nsgFxjSjtvUNC1G6aRG0+KEUqoS+AeBhMUBXFG3rKGedX/uaGpbIjKZQKIxVym1tW77K4AfCDy11F5JyO7bYj2bbaVpmoZOajQtbohIMnBzvUVN3SbKqfuztJnNXVb35wsNlk9vsH5/ldT9mdvYpMKbAAACX0lEQVRO29M0LYbppEbT4sf9wGDgP8BS4GIRObGRdrV1fzY64FdEOgCnA2XsO5D4VQIDjM8XkcR2iDm5QUyapmlN0kmNpsUBETkauApYTqC35jzAAzwjIg17QXbV/ZlD484nkPBkAbV1BfWUiCigCEioe+9p7RD67hh2NdtK0zQNcNodgKZpoSUi2QRuE/mAc5VSHmCFiNxKoPfmSQI9L7stq/tzcBOb3H1r6TWgsaejMuu2dxmBnpv9MZjAYOTl+7kdTdPigE5qNC32PQF0Bf6ilFpWb/m/gBOB00TkXKXUjLrlKwkU6xvfcEMiMhEYBqxSSp3d2M5ExAA2APkiMlAptaYtQdfdvhoFLFFKlbVlG5qmxRd9+0nTYpiInAecAXxFIInZQyllEag1UwU8IiLd65Yr4F2gm4gMa7DJ3Y9rP9vUPuu2u3sAcWMDhv9PRKY38TqwXrt8Arey3m7Fr6ppmoYEPr80TYs1ItKTwK0kAUbWFbNrrN2lwDPAZ8AxSiklIgcQGEx8v1Lq5rp2mcB2Aj283ZRSRc3suweBOjjFQHellFdE5gNTWgj7FKXUe3XbeJXAuJwedVWRNU3TmqWTGk3TGiUinwIHAH2UUmF9+khE8ggkRa8qpS4N5741TYte+vaTpmlNuZFAfZgrbdj33wATuNWGfWuaFqV0UqNpWqOUUssJzN7tDud+6+Z52gGcp5RqsqqxpmlaQ/r2k6ZpmqZpMUH31GiapmmaFhN0UqNpmqZpWkzQSY2maZqmaTFBJzWapmmapsUEndRomqZpmhYTdFKjaZqmaVpM+H+6cwyZT1fYjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, binplot\n",
    "import pycalphad.variables as v\n",
    "\n",
    "# Load database\n",
    "dbf = Database('NI_AL_DUPIN_2001.TDB')\n",
    "# Set the components to consider, including vacanies (VA) explictly.\n",
    "comps = ['AL', 'NI', 'VA']\n",
    "# Get all the phases in the database programatically\n",
    "phases = list(dbf.phases.keys())\n",
    "# Create the dictionary of conditions\n",
    "conds = {\n",
    "    v.N: 1, v.P: 101325,\n",
    "    v.T: (300, 2000, 10),  # (start, stop, step)\n",
    "    v.X('AL'): (1e-5, 1, 0.02),   # (start, stop, step)\n",
    "}\n",
    "\n",
    "# Create a matplotlib Figure object and get the active Axes\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "axes = fig.gca()\n",
    "\n",
    "# Plot by passing in all the variables\n",
    "binplot(dbf, comps, phases, conds, plot_kwargs={'ax': axes})\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Al-Fe (M. Seiersten, 1991)\n",
    "\n",
    "Removing tielines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjYAAAGgCAYAAAC5YS32AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdeXicVdn48e/9zJp9T7o3LW267ynQguwgSBWluKCAgAIqKIIKvv6q4gYIyssLqIBAgQBCqywFWWSnZbGkBUopbem+pkmafZ+Z5/z+mEmbptlmMukkk/tzXXM18zznnOceaJM7ZxVjDEoppZRS8cCKdQBKKaWUUtGiiY1SSiml4oYmNkoppZSKG5rYKKWUUipuaGKjlFJKqbihiY1SSiml4oYmNkoppZSKG5rYKDVIiMj/ExETek3opMzFofsPRuF5ppvXxW3K3tCD8m/0NialVPxzxjoApVTfExEBvgMYQIDLgJ8eocf/ppPrH3Zw7U3gjU7Kb4tGMEqp+KaJjVKDwxnAGOBB4Czg2yLyC2NMS18/2BhzQxjF3wizvFJKHUKHopQaHC4L/fl34FEgG/hK7MJRSqm+oYmNUnFORPKALwEbjTHvAItDty6PXVRKKdU3dChKqfh3CeAiOAyFMWatiKwGThaRccaYTX35cBG5oYPL24wxD3Zw/aROygO8aIx5L1pxKaXikyY2SsWx0KTh7wI28HCbWw8Cs0P3ft7HYfy6g2tvhmJo78TQqyNVgCY2SqkuaWKjVHw7BTgKeMkYs7vN9ceAPwEXi8gvjTG+cBoVkXzg4vbXO5r4a4yRMJr+jU4eVkr1hiY2SsW31nk0D7a9aIzZLyLPAguBc4B/htluPh33xNwQZjtKKRVVOnlYqTglIjnAl0Nv/9F+wzuCSQ1EMInYGPOGMUbav6IVu1JKRUp7bJSKX98G3MAqOt4MD4KrpU4TkTHGmK1HLDKllOojmtgoFb++G/rzB8aYlR0VEJHfAYtCZf/fkQpMKaX6iiY2SsUhETkJmAB83FlSE3I/wYTmEhFpO2fm+C7Oi1ptjLkjKoEerqvl3lXGmNv76LlKqTihiY1S8al1p+H7uipkjNkmIq8ApwNfbHPrqNCrI+lAXyU2XS333g5oYqOU6pIYY2Idg1JKKaVUVOiqKKWUUkrFDU1slFJKKRU3NLFRSimlVNzQxEYppZRScUMTG6WUUkrFDV3u3QPZ2dkmPz8/1mEopZQagFatWlVujMmJdRyDhSY2PZCfn09xcXGsw1BKKTUAicj2WMcwmOhQlFJKKaXihiY2SimllIobmtgopZRSKm5oYqOUUkqpuKGJjVJKKaXihiY2SimllIobmtgopZRSKm5oYqOUUkqpuKGJjVJKKaXihiY2SimllIobMU9sROQEEVkmIrtFxIjIxe3uJ4vInSKyS0QaRWSDiFzTrownVKZcROpD7Y1oVyZDRIpEpDr0KhKR9CPwEZVSSil1hMQ8sQGSgbXA1UBjB/dvA84GLgQmAX8AbhaRC9uUuR1YCJwPfA5IBZ4TEUebMo8Bs4GzgDNDXxdF9ZP0I8YYqnxLCJhKNta2UNkSiHVISimlVJ+LeWJjjHneGPMLY8w/AbuDIvOBImPM68aYbcaYh4H3gGMARCQN+A7wM2PMy8aY1QSToOnAaaEykwgmM5cbY94xxrwLXAEsEJEJff0ZY6HJ/pidzV+ntPkhHtlayxv7OsoZlVJKqfgS88SmB1YAXxSRkQAiMh+YCbwYuj8HcAH/aa1gjNkJfEowKQKYB9QB77Rp922gvk2ZuJLgmM4Y78vkeS7jsqNSOX1IYkTtVPufpNnedOD9rgYfW+p80QpTKaWUiqqBkNj8CPgQ2CEiPuBN4HpjzHOh+0OAAFDert6+0L3WMmXGGNN6M/R1aZsyhxCRy0WkWESKy8rKovZhjqRk52lYksTIJBfJrvD/V9umkR1NX6Os5ZYD157f08DTu+qiGaZSSikVNc5YB9ADPwSOA74EbAdOAP4kItuMMS92UU8A0+a96UGZg4WNuRe4F6CwsLDDMvHOkgTGJbyPyxp94NrXRiXj7+K/RpXvMbyOmXityYdcL65o4qhkFxluRyc1lVJKqd7r1z02IpIA3ARcZ4x51hizxhhzF/A48NNQsRLAAWS3q55LsNemtUyuiEibtgXIaVNGdSDBMQunZB54n+52kO3pODmxTRO7mi+mvOX2Q67X+AI8s6ueVRXNfRqrUkop1a8TG4JzZ1wEh5raCnAw9lWADzi99WZoqfckDs6peZfg6qt5bdqYByRx6Lwb1QuWeBmXuIahnlsPuZ7qcnDl+DROyE0AgglQWcuf8NulHbbzSXUzW3Uej1JKqQjEfChKRJKBcaG3FjBKRGYCFcaYHSLyJsHl3XUEh6JOBC4CrgMwxlSLyP3ArSJSCuwnuER8DfBKqMynIvIicI+IXEZwCOoe4DljzIYj9VkHA681scPrQxIO/lVrsj+kpOVnOCWbDOviw8q+sKeBbI+DMcmuvgpTKaVUnJI282ljE4DIScDrHdx6yBhzsYgMITgcdQaQSTC5uQ/4c+tkYBHxArcC3wQSgFeBH4RWR7U+JxO4g+BcHYBlwFXGmKruYiwsLDTFxcWRfUDVoSZ7HR6ZiMjhnYY1PptG+wW8jibSnAs7rB8whhVlTUxNc5PVydCYUkr1ByKyyhhTGOs4BouYJzYDgSY2R97mhvnYNDM+cVWH9yuaA/zvhio+PzSR43MSjnB0SinVc5rYHFn9fY6NGqTyE55nTMLLHd7zmwpa+H/8qMDP/Gxvp23sbw7wckkDPluTd6WUGiw0sVH9kkPSD1mN1VZT4EPKfH/E43wf6+BCt8NsrvPxVmmjHiehlFKDSMwnDysVrmTnKUxM3IPLGnrYvcbAGqr8ReS5f8/cTA+TUt2kdLI54Z5GP2uqmjktLxGn1XmCpJRSauDQHhs1IHWU1ADUB15jv+8O/KYUEek0qQHYUufjvfImGgI6VKWUUvFCExsVV7LdP2ZS0j7c1shDrgdMFbubrqDZPri6/7hsLz+fnEFqB8lPi21YtquOkkZ/n8eslFIqejSxUXHHIemHXfPZO6nwP0Bj4KMD10QEr6PjfwJ1PptVlc3s0sRGKaUGFE1s1KDgdUxjSlIN6a6vHXK9KbCWnU0X4TcVh1zP9DhYNCWTwszDV11VNAdYuqOWGp/dpzErpZQKnyY2atCw5PD9bprNeqr9S/Cbw48Mc3UyobiiJcDa6haqfbraSiml+htNbNSgluY8jylJ9XitSYdc3918JZW+RzusMy7Fza+nZjIy8fAjH57fU8+qiqY+iVUppVT3NLFRg57IoUcyGGOo8/+HJnt1p3U62z9nU62P3TovRymlYkb3sVGqHRFhQtJnh10vaf4fLEkl1/0/ndb90YTDJy4DvLCnnlSXxXF6/INSSvUpTWyU6qFG+yOckhVR3T2NfppsPaxTKaX6miY2SvXQmITnD3lvjM2Opq+S6vwiGa6Lu6z7naPSDrvWFLD5x/Y6js/xMj7FHc1QlVJq0NI5NkpFzKbFbO1wRVVPBAxUtgRo1J2PlVIqarTHRqkIiTgZn3joBOP6wAr2Nv+M0d6luKwRXdZPclpcOzHjsOsryhrZ2eDn/NEpUY1XKaUGA+2xUSqKjGnGNtUYIl8Z1WIb7cVRSqkIaY+NUlGU7DyVAue6A++N8bO18VTSXF8ny/WDHrVxSl7iYdc21LTwSkkD3x6TSnIXB3sqpdRgp98hlepr4gR6tyJKBCwJ/qmUUqpz2mOjVB8ScTI24dVDru1sugAhgRHev/e4nYIUNwXtVk59Wt3CSyX1fGdsGinai6OUUoAmNkodcQ7JQjj8cM1wuS0hyWnRyZFWSik1KGlio9QRNszzf4e839H0DUAY5f1HWO0cleLiqJRD98d5taSBDbUtfH9cGqLjVkqpQUgTG6VizC1HAdFJQlJdFjkehyY1SqlBSxMbpWJsiOcPh7zf2DCNFMfnGer5U9htzc3yMjfr4DCXzzbcsbGKOZkeTso9fLWVUkrFG51xqFQ/k2Qdh8eaEpW2HAKjE53kePScKqXU4KCJjVL9zHDv3WS6LgGC++Csrx9JSXPnJ4p3xRLhvFEpTEnzHLi2vLSRGz+poClgRyVepZTqTzSxUapfc5Di+CIJjsIDV4zxY0zkOxMPSXAwMdWNq81yqkAv2lNKqf5E59go1Y+JCMO9fz3k2saGKSQ65jHS+2BEbY5PcR9ymniD3+bP66s4KTeBz+Um9CZcpZSKOU1swmCMobGxjoQELyKuWIejBql05/l4rIID723TiOBGJLJ5NG5LmJHhZkTiwW8HtjEEDIf06iil1ECgQ1FhePKhN3nnswI2150T61DUIJbnuYF01zcPvN/QcBS7m6+IuD2nJXxpeDJjkg8m68t21/Pn9ZW9GvJSSqlYiHliIyIniMgyEdktIkZELu6gTIGIPCkiVSLSICKrRWRSm/seEblTRMpFpD7U3oh2bWSISJGIVIdeRSKSHk6sU+eMpaXsHDLc34j48yoVbVmuH5Dq/NKB935T0euEZGKqm6OzvIfsh1Pv18nGSqn+L+aJDZAMrAWuBhrb3xSRMcDbwFbgFGAqsAioa1PsdmAhcD7wOSAVeE4O7Zt/DJgNnAWcGfq6KJxAJ0wbxRdOu5ssz0XhVFOqT+W6Fx1IbHz2XtbXD6Xcd0uv2pyY6j7klPEd9T5uWlfJuurmXrWrlFJ9LeZzbIwxzwPPA4jIgx0U+QPwH2PMT9pc29L6hYikAd8BLjHGvBy6diGwHTgNeCnUu3MmcLwx5p1QmSuA5SIywRizIeofTKkYcEo22a6fkOz4/IFrPnsXLmtEF7W6l+NxcFy2l+EJB79lNPhtXJboPBylVL/SH3psOiUiFvBFYJ2IvCgiZSLyvoh8vU2xOYAL+E/rBWPMTuBTYH7o0jyCPTzvtKn3NlDfpoxSA56IiyGeG0lwzASgwvcA6xtG0Rj4qFftJjgtzhqWRJr7YCfoHRureHJnXRe1lFLqyOvXiQ2QS3Co6hcEE5fTgX8Aj4rIglCZIUAAKG9Xd1/oXmuZMtNm4kHo69I2ZQ4hIpeLSLGIFJeVlUXp4yh1ZCU7TiXXtQiPNR4AvykjYCqj0vYpeYnMyTy48V9zwFDr03k4SqnY6u+JTWt8zxhjbjPGfGiMuQ1YAlzZTV0B2s6g7Gg2ZfsyBwsbc68xptAYU5iTkxNu3Er1C25rNHme32JJcL7MloYT2d74lai0fXSWl3Ft9sN5clcdd26sikrbSikVqf6e2JQDfmBdu+ufAqNCX5cADiC7XZlcgr02rWVypc0Sj9DXOW3KKBX38jy/I8f9cyC4g3FT4OOotT0v28tZw5IOvPfZhrKmQNTaV0qpnujXiY0xpgV4H5jQ7lYBwcnBAKsAH8FhKgBCS70ncXBOzbsEh7TmtWljHpDEofNulIprac6FpDjPBGC/72981jidxsCaqLSdn+RiVsbBoak3Shu5Y2OVDk8ppY6omK+KEpFkYFzorQWMEpGZQIUxZgdwC7BERJYDrwEnA98AvgxgjKkWkfuBW0WkFNgP3AasAV4JlflURF4E7hGRywgOQd0DPKcrotRgleY8D7DxWpMBaAgU47WmYYmn64o9NDvDQ5rLItkZ7Cj12YbSpgDDE2P+bUcpFcf6Q49NIfBB6JUA/Cb09W8BjDFPA5cDPwU+Bn4IXGSM+XebNq4BngSeILjaqQ74ojGmbT/4t4CPCE5Cfin09YV99qmU6udc1lCy3Vcj4qTJ/pTNjXPZ77szau1neRyHbPL3XnkTf9tUrcNTSqk+JbplevcKCwtNcXFxrMNQqs8YY1Ppf4AUxwJc1hAaAu/jtsbilKyoPaPWZ7OhpoXZmR4sEZoDhpImP6OT9Nw1Fd9EZJUxpjDWcQwW/aHHRikVYyIWma7v4rKGYJt6Njcey77mRVF9RorLojDLixXqwVlR1sjfN9dQ2aI9OEqp6NHBbqXUISxJYrT3SbzWdADqA8txSwEuKy+qzzk6y0uO10FGaNO/6pYANT6bkdqDo5TqBe2xUUodJtV5Dm5rDAFTx5bGkyhtuSHqz0hxWUxPPzhR+cW9Ddy3pUZPFFdK9Yr22CilOuWQZPK9z+O1pgBQ7X+aZMdJOCQ96s86fUgic9tMNt5R7yPBYZHjdXRTUymlDtIeG6VUl1Kcn8dljaApsJYdTV+hwvf3PnlOpsfB2OSDw1CPba/l33vq++RZSqn4pT02Sqke8Tqmku99gUTHcQRMFTX+f5PuPJ/gWbXRd2F+Kl5HsPcmYAxrqlqYnOrG49DTxJVSndMeG6VUj6U4z8QhKVT6HmFX8wU02qv77FnDE51keYLDUNvq/PxrZx3ralr67HlKqfigPTZKqbBlur6L15pCoqOQ+sDbGNNCsvPkPnve2GQnl4xJJT85+C1rd4Ofer9NQaq7m5pKqcFGe2yUUmGzxHsgkdnbfC17Wq7q0+eJCEeluHCEJha/UtLAU7vq+vSZSqmBSXtsIvTfNz4hNSOJ3MkvkOI4E7c1JtYhKRUTo7z/BALYppEK3z2kuy7CKZl9+sxzRybTbAeXhbfYhvf3NzE700OCQ39XU2qw0+8CEbr/z8/x/JP/Yk/zlVT6H451OErFjNsaidvKpyHwX/a2XEOt/4U+f2aKyyI7NP9me72PF/Y2sLnW1+fPVUr1f9pjE6Gvf/dUXF4nua7fkGSdEOtwlIq5ZOdJjEv4AK81nRr/M4CTVOfZff7c8SlurhyfxpDQfjerK5rI8jj0DCqlBilNbCL00pP/xXIIWcfdSovZSLLzxFiHpFTMJThmArCv5QYE7xFJbACGJhz8VvbC3gaOSnZpYqPUIKWJTYQWnD+fhvpm8tw34ZCMWIejVL8yJuFlfPZu9jX/mhz39ViSGPVn7Prz30n93FxSj57JnrsfJXHCWNJPnscPC9LxWIfvdVPeHGBNVTMn5CTg7OC+Uio+6BybCL3x/Ie8sOQ9Kv33Uem7J9bhKNWvOCWbRruYUt/vaLY/i3r7gYZGtv3yNsoeWwbAtkV/Zu99TwCQ6rI63MRvQ00Lr+9rpNpnRz0epVT/oT02ETrtS3Mo3VtJtisHvymNdThK9TuZru9gm2Ya7WISHDOi2rYjMYHpbzxO2ePL8NfWMXf9K1hJh/YK7bj5b6QeM5P0k+cBMC/by7R0N6muw8+e8tuG1/Y1Mj3dzZAE/bao1ECmPTYReue1T/jPk+9T419Khe9vsQ5HqX6pNvA0+3139knbjRs2s/v2xTRt2YErOxNHgvfAPeP3s/Pmv1G29PkD1yyRDpMagHq/zdvljWyq05VVSg10+qtJhOafNpWRY3JJd46nwf5vrMNRql8a6VlKacsiGgLvk+iYG9W28y48F39NHTUrikmeMfmQe+J0csy2FVhJCQeubf/tHaQUTiPzC4fvkJzmdnD9pAwS2g1hBYzhP3sbmJbuYUSifrtUaiDQHpsIrV6xgdeeXUVd4CUq/fdhjI7bK9WeoYkK//3UB97sk/Yr/v06JYv/2eE9Z3oqliu4MsoYw567Hmb/s6922lai00Lk0MSm0W9Yub+JrdqTo9SAob+CRGj2/ALSMpJIjfLcAaXiicvKY4z3VSr99xMwtTgkJartT1pyJ1uu/QPV76wibf6cTsuJCEdvW47lCZ4tVb18JaWPP8tRt//qQPLTkWSXxc8nZx42Gfn1fQ1kuB3MzPBE54MopaKmxz02IjJPRH4lIq+IyEYRqRCR3SLygYgsFpGLRPp4H/V+5ONVW3j7lY9psN+h2v8EhsZYh6RUv9RiNlLlf4SAKYt623ZDE2X/eJbalR91W9aRmIA4gnNsat77gNKipwnUdH/eVEcrrNZUtfBZrZ40rlR/1GViIyJuEblKRD4BVgA3AKcA40J1s4AZwLeBxcAuEXlIROK+G2PSjHyOPnEKSY4TSXEsQDu/lOpYhuvb5Lluosr/j6i37c7NZtorRdS+vwZ/dU2P64382RXM278aV1YG1W8Xs/6iawk09PyXk6sK0jhvZPKB9zW+AE9sr2V/cyCs+JVS0ddpYiMiXwXWA3cAScCfga8AIwCXMSbdGOMFUoGjgauBV4HzgVUicr+IDOnj+GPms7U7WfX2eprsNdQGnsWmPtYhKdVvNdjLqfW/1CdtN23ewf5nXsZXUR1WvdYhqIZPNrL/mVfwV9f2uK5D5JD5ODU+w6c1LVTpHjlKxZwYYzq+IWIDrwA3GWNe73GDIjnAd4GfAHcYY34bjUBjqbCw0BQXFx9y7ZVn3mfbZ3v5xo+T2O+7m5Heh/pkd1Wl4oFtmtjVfDEZzotJcZ4Z9fZ3/vnv+PdXMebGn0VU3xiDiLD7/xbTvGcfY//484jbgOC+OP/aWcesDA8Fqe6IYlLxQ0RWGWMKYx3HYNHV+MmJxpjl4TZojCkDbhKRu4AxEUfWz+3YvI9PP9xOi/HSYC/HpgELTWyU6oihifrAchKt44nu9OGg+g/X0bx7X8T1WxOSug/X0bh5e6/aAPAbw7Z6H6OSdIhaqSOt06GoSJIaABHJCtWvNcasiTSw/i5naAYTpo3CJaNIsAoRvN1XUmqQckg6o71PUxtYhs/eG/X2C+7/I870VMr+9UKv2pmw+FZmvrWE5j37WHPGhdQWR/YtzOuwuH5yJvOyg/volDb5ufGTCv5b3tSj+nbpHmrPnkDzI3f0qHxlS4DFW2ooafRHFK9S8aS7ycMXhNOYiKQTHL6Ke2V7K9m1rQy/2UeTvQ5Dz75hKTVYBcx+mux1fTIfzfj8NHyykZY9kffatBWoq6dh3SZ8FVVRaa8xYGgMGKp9PZtcbNfXYGqqsEt29qh8c8BQ2uSnMdDx1AKlBpPulnvfLyJn9KQhEUkGXgKm9zqqASApxcuI/BwckobbGqs9Nkp1I8V5JtmuH1HaEv1pd46kRCY9cRdlT/w74qGk2uI1fHj8V2navovEgrEcu+tdMs84ocf1/dWvUf9+Kr7yJw67NzrJxe+mZ3HG0KQetWV5kyAxCcnM7VH5IQlOrp+cyZjk4ITo258rJuPbd/Dext09qr+irJElO3o+eVqp/qy7xKYBWCoiXU56EpFE4HlgLtDxNqCd1z1BRJaF9sQxInJxF2XvDZX5abvrHhG5U0TKRaQ+1N6IdmUyRKRIRKpDr6JQD1NEaqsbqK6sJ2Bq8ZsSQLuAlepOwFTgN9HpVTms7YZGWkrKsJuaY1KfQC3YjRDofS+PaWmCpkZMbWRtVdY10dDsp6GpZ9+XGgOGOr+u6FLxobvE5hzABTwnIuM6KiAiHmAZcDzwLPDNMGNIBtYSXC7e6UYSInIewcRpTwe3bwcWElxq/jmCS9CfE5G2J949BswGzgLODH1dFGasBxgDmTmpgOAgE0FXPijVnTz3jYBhv++vUW87bf4chv/4ErZc+3uM3bMf0g2fbmL17AXUfbiO9BOO4ehNb5A44ajIArC8IC6wErov2w1xOsHlRryRLUgYk5dGksfFB9t6lkSePiSRS8emdVnm46pm7t1UTbMOd6l+rsvExhjzFvAtghvxvSQih/SLiogL+BfBTfteBs4zxoS1Q5Ux5nljzC+MMf8EOvxuJCKjgf8jmDT52t1LA74D/MwY87IxZjVwIcEhsdNCZSYRTGYuN8a8Y4x5F7gCWCAiE8KJt1XAH8Dv9wMBDLoDqVI9YzCmBWP65uwl4w9gt/S8bWPb2D5/jxOhrhsLAHboz142ZdtgByAQWU+wP2ATsG1aotgLY5vgoaBK9XfdHqlgjHkKuIrg0u0XRYKHvYR6Qx4HvgC8BZxj+uC7lYg4gX8AvzfGfNpBkTkEe5X+0ybmncCnwPzQpXlAHfBOm3pvA/VtyoSltrqRxEQvAVODYCF0ft6MUipIxMEwz51U+O6mMbAq6u2P+PGluDLT2frzP3ZZbsPFP+WzH/ySpCkFFH78Iimzp0bh6TZg6OT3s/AZAxEmXMaA1+Xkk53l0YkFmJHh4fvj0w87YmJTbQt3bKiiqkV3XVb9Q4/OijLG3EPwOIWZwNMi4gUeIbgT8XvA2caYvloW9BtgvzHmb53cHwIEgPb/gveF7rWWKTNtdiMMfV3apswhRORyESkWkeKyssPPuPEkuHB7XVjixZIU4PDzZJRSHRBn6N9M3/wyYCUlYCV2PRxkJSbgSIzyhH/LExqK6n27YjnB6QJPZG15XA68bgdJnr7/hcshgtshWKLfA1X/0ONDMEM7CN8DnAxsAr4OfAicZYzpk/MERORE4GLg0kiqE/z1qVVHfajtyxwsbMy9xphCY0xhTk5O+3vs2V6O5RBa7G3Ypp5gx5JSqjteaxLpzm+xq/lCbBPhRN0ujP3TLyh99BlKn3jukOu+ymren3gq+4qeZPxff8fYP/2/6D44UAd2EwR6fmZVZ4yvGVqaMXXhHRPRqqaxhSZfgOIt+7Dtvh0+GpPs4nvj0kh1HfxxsnJ/E3dsqNL5OComepzYhPyA4JyaYcAnwGnGmMj+5fXMycBQYK+I+EXED4wG/igiu0JlSgAHkN2ubi7BXpvWMrnSZmvQ0Nc5bcr0mIiQOzSDtIxknJKH28oPtwmlBjWHZOOSfARHt2XDZbndePOH48xIPfS6y4l39HCcmREvhuyaIwMcyYgzp/uy3ZCEREhIwurhcu/2slMSGJKexOjsVGLRkZLoENLdFpZ24qgY6G6DvjVtX8BHwDSCvRypwBvty4jIR1GM768EJwHPbPPaA/wvcGqozCqCE4pPbxP3CGASB+fUvEtw9dW8Nm3PI3i4Z9t5Nz3SWN/Mpk93EQjYNNrvEzCV4Tah1KCW4foWhgZ2N18R9bad6amM+OllbLjoJzRs2Ezjlh28N/Roql57h2kvPUzW2adE/ZkAxlcKgRpMS8/2jumKXVcD9TXY+yJra29lPXsr61i5aS/lNT0/tTxapqZ7uGhMKq5QZrO+poWb11Xo6efqiOhu/KSrGXUjQ6/2wup7DG3s17qU3AJGichMoMIYs4PgPJi25X1AiTFmA4AxplpE7gduFZFSYD9wG7CG0C7IxphPReRF4B4RuYzgENQ9wHOt7YTD6XIwdjaojMgAACAASURBVMIwcvLS8FiTsPu000qp+OS1puOUoX3Stjs3m+TZU3GkpiBOB8mzp+Ia0vuelK6IZzg4sxBPfq/bslLSkbQsrJFjI6o/OieVScOzSE30kOCO/TB5stNiWILzsInHSvWF7v7GTzsCMRQCbU8P/03o9RDB+TU9cQ3BHfKeABKAV4GL2i09/xZwBwdXTy0juNorbBVlNax5fzPHnT6dGv8yPFZEK8aVGtSyXdfyWcM0nJJLhuuiqLadPGsKCePz+e+IeRTceyNT//1AVNvviGneBv5y7KZNvW7LrtqPqSonsDXs37sA+GxvJWt3luPz22wtrWba6L5N6rozItHJRWMODg0+vr2WhoDd7d45SkWiy8TGGPNJXwdgjHmDMJYUGWPyO7jWBPww9OqsXgUQ1tlXnUlM9jJ97lHkDE0nyXEibmtUNJpValCxJJUkx2m4rQ73/uy1lDlT8eaPwFswpk/ab8/yFIBrKFbC5N63lZWL5AzDURDZCTWTR2Zx/MThWJaQndr7DQOjbWSik+Y2k5ptY3RVlYqacCcPK2D7phKKl6/H56+nyr+4T04rVire7WtZRKP9HonWvO4LRyDvooUcvflN0j93dJ+0357d9Cn49mI3fNj7tspLMKW7CXxSHFH9D7eW8ua6XTy/eisfbTt8u4pYOy4ngVPygrsqv1fexB8+qaTOp0c6qOjotMdGRFy93XAvGm30R7lDM5h36lRy8nJpdn6VRMexsQ5JqQEnwToacTqROPlN3UqcDu5RWMnH9L6tvBHI0NE4Zh0XUf2544bwxTlj8QVsjhrSR6vAomRIgoMpae4D8298tjkw6VipSHTVY/OZiHyn3XlLPSIi40XkUeD6yEPrv3KHZXD1b75Gdm4Gwz13keo8O9YhKTWgVPv/xa7mi0l3RnduTSzZ9augZQeB2uW9b2vPdsze7QTefyOi+u9s2MMzxZt5+v1NvL52R6/j6Uv5SS7OHZmMyxJWlDVy07oK6vVATtULXc2xWQ38Hfi9iDwCLAFWd3YWVOgcqc8DFxHcf6YMuD+64Sql4oFLxpDhvBiX1dHCyoHJkXwseMbiSD21+8LdsEbkIyOPwjn/9O4Ld+CEySMprWmgxReg8KgON1fvl0YlOpmd4cVjCX7bYEB7b1TYOk1sjDHnhnb+vQn4CXAt0Bjap2YvUAl4CR6QOZHgxnkANcDNwM3GmLo+jF0pNQD57VK2NB5HrvvXOCUz1uFETaB2BTRvIVD9Es7U43vVlr1zK2bnZnxvvYD7rG+EXf/Vj7fz6FvrMAZGZKUwe2xer+I5UkYluRiVFDwG4qEtNdT5ba4s6N9Daar/6W5V1JvAfBGZRfAE7VM5dJO7VnUEl1H/C3jMGNMQ7UCVUvFBcJPp+h7JjtNiHUpUOVJPAm8BjvQFvW7LGj0eGTMB5ylfjqj+52fk09TiQxBOnTa6+wr90MwMz4GVU7U+mxSXrnVRPdOjnZuMMR8Q2vNFRLKAUQR7ahoJbqC3pbMhKqWUamt70zkEqGOY539jHUpUBapfhqaNBCqfxJnSuwnE9pZPMVs34H95KZ7TvxJ2/X+v3sI9L6/B43JQ1dDMiVMG3pDfjAwPACWNfv7yWTVfHpHEnMwoH1waQ6tWrcp1Op33EdwIV7O2nrOBtX6//7tz5swp7ahA2FtSGmP2E9zdVymlwmKMTarzazgktfvCA4wj/Wxk319xZp3f67ascVOQcVNwfiGytr409ygcIiR5XcwaMzCGoTqT6XHwuRwvY5JdNPptEEhwDPw8wOl03jdkyJBJOTk5lZZl6WmhPWTbtpSVlU0uKSm5D/hSR2UG/t8OpdSAsd/3V/a2/JAEx9xYhxJ1/spnME2f4i8v6nVb9mdrMZs+wf/cIxHVf+q/n3H786tY/Ppa/vLiB72OJ5bclnDG0CQy3Q4e3FrDQ1trYx1StEzNycmp0aQmPJZlmZycnGq6OPIp9oeIKKUGDa81lVzXr3BLZGcg9WfOzPPwl92PI+uSXrdlTZiJVTAN1zkXR1R/4bETSPS4GJaRTGZy/AzfnJCbgBDc66bWZ5Ppif7p8EeQpUlNZEL/3TrtmNEeG6XUEeE3ZWxtOg1DM5a4Yx1O1Pn3P4FpXEugvPe7XNjrirE3fozvqcUR1V/yznpueWYlD7z2MX98emWv4+kvpqR5mJzm4eWSBv5vYxVNAd3vJhoefvjhdBGZ88EHH3gBNmzY4B4/fvyU9uUeeOCBjHHjxk2xLGvOW2+9ldh6/fXXX0+cOHHi5IkTJ06eMGHC5IcffvjAUrbhw4dPKygomNx6/+WXX07asGGD2+v1zm69NnHixMl33XVXVttnnXLKKeM6iqEntMdGKXVEGAO5rkWkucJfvjwQOLO/hb/8YRy53+t1W9bUo7EmzsS18LsR1T//+ElkJHmZODyTuqaWXsfT38zJ9JDtceAUYW+jn6EJA/9HWfYld87YX9sUtQ+SleL1ly/+4Uc9Kfv4449nzp49u66oqChz1qxZezorN3PmzMZ//etfmy677LL8ttcLCwubPv7443Uul4vt27e7Zs2aNfn888+vcrmCS/fffPPNjUOHDvW3lt+wYYN75MiRzevXr1/X0XMeeuih9KSkpIgXJGmPjVLqiNjTfDn7fXfitSbGOpQ+4S9/GNO4hkDpX3rdlr3mv9jrP8S39N6I6j+6fB1/ePI9HnjtY371xNu9jqe/yfM6OTrLy3/3N/GXz6rZ1+TvvlI/F82kJpz2qqurreLi4uTFixdve+qppzK6Kjt79uymGTNmNLe/npKSYrcmMY2NjdKbY1Kqq6utO+64I++GG26I+BDGgZ/mKqX6PWMMKc4vkO68INah9Bkr+1Kk/B848q7ufVsz5yGTZ+P65pUR1b/whCnkpiYyd9wQNu6p7HU8/dX0dA9OS0h3Weyo9x3Y3E/13KOPPpp+0kknVU+fPr05PT09sGLFisScnJywM8XXXnst6fLLL8/fs2eP++67797amugAnHjiiQWWZeF2u+01a9asB9i5c6dn4sSJk1vL3H777TvOPPPMumuvvXb41VdfvS85OTnicUbtsVFK9bm6wEvsbr4cw8D/zbozdvl9mMYPCZTc3vu2Pnwbs241vkfviqj+Q2+s5Yal77D49bX8rOhNbDs+56imuCyOyfJSXNHMvZtrKGmM379ffWXJkiWZ559/fiXAwoULK4qKiiLaDvyUU06p37Rp0ycrVqz49NZbbx3a0NBwoNvmzTff3Lh+/fp1rUkNQOtQVOvrzDPPrHvnnXcStm7d6rnooouqevOZwu6xERELmA9MApKNMf8buu4APLrrsFKqPYfkkee+kZQ4PjDWyr4cKV+KY8i1vW9r9uewJs/BfcGPIqr/7ZOmMiwjmVOmjWL2mFysOD9vaWaGhwSHkOoUttX7yNeemx4pKSlxvPfee6kbN25MuOqqqwgEAiIi5pprrulw47uemD17dlNiYmKguLg44YQTTggrH1i+fHny2rVrE4cPHz7N7/dLRUWF8+ijj56wcuXKDeG0E1aPjYicAHwGvAncA/ypze15QK2IfDWcNpVS8W9n0zeo8S/DIcmxDqXP2GX3YBpXEyj5U/eFu2tr9XLsdatoKfq/iOo/+MZafrXkbYreXMf/PLacyrqmXsfUnyU5LWZnelle3sR9m2uo8+lqqZ4oKirKOPfcc/fv2bPn4927d39cUlKyZsSIES3btm0La9ni+vXr3T6fD4CNGze6t27d6h0/fnzYs9avv/76stLS0jW7d+/++K233lqfn5/fHG5SA2H02IjIDOBFgudC/RKYCSxsvW+MWSEiO4CvAEvDDWQgCARsVq1Yz7RjcvA5V5Iax799KhUttmkg03UpSVZ8nQ3VnpX7fWT/UhxDftLrtpyFJ2JNKcT9rR9GVP+Sk6cyPDOZc+aOJyctgYw42sumK/OyExiZ6KLJNlQ1+BiRqD03XVm6dGnWddddd8gk3XPOOafyxhtvHLp161ZPXl7e9NbrN910006n02l+9rOfjaqsrHR+5StfGT9p0qSGFStWfPbqq68mL1iwYKjT6TSWZZk///nPO9qugupI+zk2F1xwQfmiRYsi7ilqS4zp2diriPwLOA2YZozZISK/Bn5ljHG0KfMEMMMYE1fLHgoLC01xcTFr3t/Mb3/4AD/7ezWJY/5CQeJ6PNaEWIenVL9W4buX3c1XMDZhBUmO42IdTp9p2X0Tvl2/wJn7AzxjercyyrfydRqv+SqOOSeQdMeTYdf//r3/4d5X1vA/Xz6GPzz5Hpv/chlj8wbPKdkPbqmhpMnPzyf3j9PjRWSVMaaw7bWPPvpo24wZM8pb38dyufdA9NFHH2XPmDEjv6N74fxHPAF4yhizo4syO4Azw2hzQBkyPIOvfPtExo1txrgna1KjVA84ZTRD3XeQaM2LdSh9ysqJXo+N6+iTaZ5SiPuCyFZYXXryNEZmpfDN4yfjt23yc9J6HdNAsmB4Ek0Bm89qW8hyOwbEDsXxnIQcaeHMsUkB9nVTxkMcLyF/9rG3efrht9hnvkut/9lYh6PUgLCr6VvUBV4kuO4gftllf8M0fkCg5M+9bstf/Cb2J8W0PBLZHJvFb6zll0+8zZP/3cgfn17Jqi0lvY5pIMn2OBia4OSRbbW8tk/Xsww24SQhewmuhOrKdGBbxNH0c5Nm5jNmchqZLhcZcbwfh1LR4jcVZLl+FNf717Sycq5AKqLTY2PN/hzWlDm4IlwVdfFJUxiemcyFJ05hd0Ud00fn9DqmgcYhwmVHpZLgsCiuaGJmaM8bFf/C+RXqP8BZIjKno5sicjLB4ap/RyOw/ui+Py1jT9WDlPluwN9t55VSqsr3KKW+X2PTq20pBgS7/F5MQ3R6bOzVy7E/WYXvkTsiqv/gG5/w6yfe5rlVm7ntuWLe/GRnr2MaiEYkutjT6OfpXfVsqfPFOhx1hITTY3Mj8HXgdRG5FRgHICInEkxofgKUA73/V90PNTe1cNqX51I4fyRZ7nkkOebHOiSl+j2XDGOY+14SHLNjHUqfs7K/i5QvwTHkx71va+ZxWJNm4/rmVRHVv+jEKQzLSOKr8wpYs62UY8YP7XVMA9WUNDffGZuKYNhY20JBSvwdwKoO1eMeG2PMduALQA3wG+CbgACvhd7XAmcbY+KyK+OT1Vt58sE3aUq7mrpA3HZKKRVVe1qupDbwTKzDOCLs8geCc2z23dn7tj58F/vT1fge/2tE9Yve/ITfLH2XVz/ewe3Pr+alj7b1OqaByhJhTLKLV/Y18tzu+liHo46AsGbzGWPeAY4CLgT+CjwO3AtcAow3xrwf9Qj7idnzJ3DzA9+nIPV9hnvvi3U4SvV7fruUdOclDPNE9sN5oHFmXwze6ThyIzvfqS1r+jHIxJm4vnp5RPUvOGEyixYey5mzxvCjs2Zx/IThvY5poPv6qBQuzE9hRVkj9X7dwK+thx9+OF1E5nzwwQdeCJ6+PX78+Cnty11xxRUjxowZM6WgoGDy6aefflR5ebkD4LnnnktJSUmZOXHixMkTJ06cPH/+/AKAa6+9dlhubu701usTJ06c3FqnL4WzQV8m4DfG1ACPhl6DyrjJI2IdglIDRm3gBcp9N5Pq/BJuRsU6nD7nLy+CpjUESu/Gmf+/vWrLXrsSs/5DfP+6D/dxZ4Rd/7EVn3Lvy2s4Zeoo7njhA6aOyuGy02f0KqaBLsVlUdES4MW9DSQ5LWZleGId0iHqV2XPwL8/equKnVn+pDnlPVpC/vjjj2fOnj27rqioKHPWrFl7Oiv3+c9/vuauu+7a5XK5+P73vz/8l7/85ZC//e1vuwEKCwvrXn/99U3t63zve9/b99vf/vaIjuSE02NTBkQ2k00pNegIXoa67yLJEd/717RyZn0dSZiKI/u7vW7LmlyIFEzHee6lEdX/xvyJXPflo5k3YThXnz2bEyeP7HVM8WB0kosfFqThEVhb1RzrcA4VzaQmjPaqq6ut4uLi5MWLF2976qmnMroqe+6559a0nto9b968+t27d/fLCUvhJDbVdL+PTdhE5AQRWSYiu0XEiMjFbe65ROSPIrJGROpFZK+IPCYio9q14RGRO0WkPFRumYiMaFcmQ0SKRKQ69CoSkcGzFadSR1iZ70aq/Y/HOowjxl/xT0zjWgL7H+h1W/aGDzEb1+B/enFE9Z94ZwN/WvY+G/ZUcOcLH/Dsqs29jile5HmdrChv4s3SxliH0i88+uij6SeddFL19OnTm9PT0wMrVqxI7Em9Bx98MPvMM8+sbn1fXFyc3DrcdP311w9pvX733XfntV4/5phjCvriM7QXToa4kuA+NdGWDKwFHg692koEZgN/AD4E0giuunpRRKYbY1rPorgdOAc4H9gP3AY8JyJzjDGBUJnHgFHAWYAB7gOKgC/2wWdSalALmEqSrJPJdH0/1qEcMc6Mr+Db93ec2Rf2ui1rwnRk3BScX7woovoLjx1PktfFpOFZ/PgLszlRh9EPceGYFCpbAvxnbwMn5ibgcQze/W2WLFmSefXVV5cCLFy4sKKoqCjz2muv7fLMpuuvv36Iw+Ew3/ve9yparw3UoajfAaeKyDeiGYAx5nljzC+MMf8E7Hb3qo0xpxtjnjDGbDDGrASuILhR4CQAEUkDvgP8zBjzsjFmNcHJzdMJnm2FiEwieNTD5caYd4wx74baWSAiei6CUlHWZH/Mfv//0Ww+jXUoR0yg6lloXod//z963Za98WPMpk/w/zuyqYxPr9zEnS+sZldFLX956UPtsWknwWGxr8lmeVkj+1sC3VeIUyUlJY733nsv9corrxw9fPjwaXfdddeQZcuWZXR1huSdd96Z9dJLL6U/+eSTWy2rf+4mHk6PzTHAy8CjIvI94H2ghGDvxyGMMbdFJ7wOpYb+rAz9OQdwEdxAsPX5O0XkU2A+8BIwj+Cp5O+0aedtoD5UJuxj0ZVSnQuYSnJcvybN+eVYh3LEONI+D57xODPO63Vb1thJSP5EnKdH1taCOUfhdAgjMpP54ZmzOGGS9ti0NyvDw9gkJysrmvHbhlFJg+8k8KKiooxzzz13/2OPPba99drcuXMnbNu2rcO5M//85z9Tb7/99iHLly/fkJKS0m+XloWT2PypzdcnhF4dMQSHgqJORNwEh6KeNcbsCl0eAgQIbg7Y1r7QvdYyZaZNGmqMMSJS2qZM+2ddDlwOMGpU/K/oUCqaqvxP0BB4hyGeG2IdyhETqHkNmj/DX7UMR8rcXrVlb/8Ms209/teewXP6uWHXf+GDLfz91TX84ivHcu+ra7CBU6fn9yqmeOR2CO+WNyIwKBObpUuXZl133XV7214755xzKm+88cahW7du9eTl5R2YfnLTTTftvOGGG4a3tLRYp5xySgHA7Nmz6x577LGuDsbm7rvvzluyZElW6/tnnnlm04QJE1qi/VnaCiexielcFBFxAo8A6cCXelKFQ3uTOupba1/mYGFj7iW4Rw+FhYWd98sppQ5hmxYcZDDc0/tJtAOJI+V4cI8N9tz0kjVyDIwci+vEsyOqf9r0fHwBm/RkL98/YyZzxw3enYe7kuCwuG5SBh9XNfNueSPzshNiF4wzyx/t5d7dFVm5cuVhoxWLFi0qXbRoUYdzbC699NLKjq4vWLCgdsGCBbXtr9922217brvttk6Xj/eVHv9HNMbEbLvdUFLzD2AacJIxZn+b2yWAA8gmuCS9VS7wVpsyuSIirb02IiJADn2w0kupwcymmir/Q7itfFI4JdbhHDGB2nehZQuBmldxph7fq7bsXdtg5xb8b7+E+8yvhV3/9bU7eOStdfzxghMpemsdlfVNLDz2iCxIGXC8Dot11T6abBPTxKane86o7vXPmT9tiIgLeILgZOCTjTEl7YqsAnzA6W3qjCA4ubh1Ts27BFdftd1QYx6QxKHzbpRSvdRsbyLVsZAsV2TnHA1UVnIhuEbiSPlc79saNhqGjcIx96SI6n9u0nC+Nn8CbqeDS06ayjHjh/U6pnh2wZgUTslN4JlddQS6mDirBoaYJzYikiwiM0VkZiieUaH3o0I9NUuBYwku5TYiMiT0SoDgyingfuBWETlNRGYRXMa9BnglVOZT4EXgHhE5VkTmAfcAzxljdOKwUlHUZH9ITeBJAib+T/Ruy274CHw7sev+2/u29u2CPTsIrF4RUf33PtvLk//9jBZ/gGXFm3jt4+3dVxrEHCLsaQqwtroFn62JzUAXzpEKNT0saowxaWHEUAi83ub9b0Kvh4AbCO5PA8GembYuAR4MfX0N4CfYs5MAvApc1GYPG4BvEdw5uXX11DJgcP1KqdQR4LP3kOv6PS5rcM3rsLyTwTkUK3Fm79vKHgK5w3BMjWwS8pyxeeydMxa308HCYwtISeiXG8T2KyfmJjAxxcmTO+tZMDyJVFfMf+9XEQpnotJGOp5omw7kE5znsp7gEuoeM8a8QXASb2e63TnJGNME/DD06qxMBXBBOLEppcJXH3gDlzX4VhLazRvBvxe7cS1knNW7tvaXQuleAhsim3bx8Y5yXl6zHV8gwPJPd5Ge5OVa3Yq0WzV+w6a6Fur9CZrYDGDhTB4u7OyeiGQBdxKc1zJ4ZgsqpQ7hs/fikFRyXD+NdShHnHjywZmD5e39JF0rIxvJzMExdmJE9QuGZnD8xBE4LYuTp46iobnbBTIKGJ/i5poJGTy1q47T8hIZlhjd45vUkRGVlDS0SukiwAP8PhptKqUGHpsaGu1i/GbwLTY0zbvBX45p3tbrtuyaSkxVOfbOLRHV31pazaotJQRsw7qd+1mzvaz7SgqAZtuwu9FPnb/f7j8XdQ8//HC6iMz54IMPvAAbNmxwjx8/fkr7ctdee+2w3Nzc6a1nPz3xxBNpAM8991xKSkrKzNbr8+fPL+io/MSJEyeXl5c7nnrqqdQpU6ZMKigomDxlypRJy5YtS4nm54laOmqM8YvIq8BC4OpotauUGjgaA6tJsI4l2XFqrEM54sQ1BBxpiHt4r9uyklMhOQ1rSGSnco/ISmHKiGwcljAjP4fN+wbXRO7eyPY4uGZCOo9vrwOBgpQjMz+p5qzxM6ipjF4XUWqGP/WFz3o0lvn4449nzp49u66oqChz1qxZXe4709nZT+GcFZWbm+v797//vSk/P9/3/vvve88+++yC0tLSNT2JtSeiPYjYup+MUmoQ8psyfGYrhkF4/k5gPwRqMf4uzw/sEdPYAA212Pvb727RM6XVDWwprcI2ht0VdWwr7enaDwUQMFDZEqDRfwRXSEUzqQmjverqaqu4uDh58eLF25566qmMqMbQieOOO64xPz/fBzBnzpymlpYWq7GxMWonkUYtsRGRfOA8ILK+U6XUgNdgv0ea8xtY4o11KEeeIxksLzjCWRTaMXF5wJ2ApEb2cyYt0cOQ9CREhNE5qSR5Bt9xAb2R5LS4qiCd4oom1lQ1xzqcPvXoo4+mn3TSSdXTp09vTk9PD6xYsSKxq/L3339/bkFBweSvfvWr+WVlZY7W68XFxcmtw03XX3/9gaOK7r777rzW68ccc8xhE9AeeuihjMmTJzckJCRELYsMZ7n3HV20MRI4leAcm19HIS6l1ABkmxpsE9bCyPhhN4PxQaCx100Zfwv4W6CxIaL6Dc0+ahpaMMbQ0OynpjG+fzj3BUNwvo0/zve1WbJkSebVV19dCrBw4cKKoqKizGuvvbbDbsdrrrmm9JZbbtkjIvz4xz8e/oMf/GDk0qVLt0F4Q1GtiouLvb/61a+Gv/jii59F8SOFNcemuz1fdgG3GmP+1ot4lFIDVIu9FZ/ZQY7z+liHEiMOwAJxdFuyW5YFYgX/jCQSS3A5LUSE9CQP/oAhELBxOHQJc0+5LeGyo9J4YEtwGG92Zvz1QpaUlDjee++91I0bNyZcddVVBAIBERFzzTXXdJjYjBw58sDyuquuuqpswYIF4yN99ubNm13nnXfeuPvvv3/rlClTopp5h5PYTOvkug1UdnDUgVJqUBHART/Y0Dw2xAIkKomNWBaIgCOyaRcOy8IZSoosEZyOqE1fGHQsgeDRgvGnqKgo49xzz93/2GOPHdiaeu7cuRO2bdvW4Yzp7du3u0aPHu0DePzxx9MnTJgQUfdkeXm54wtf+ML4G264YdcZZ5wR9S7ecPax+STaD1dKxY+6wKtAAK81I9ahxIbdDPjBbup1U8bvh4AfmiMb1mps8VPb1AKA02Gxv7aJZn+ARO2xCYvLEi7MT+Hvm2swxsRdr83SpUuzrrvuur1tr51zzjmVN95449CtW7d68vLyprdev+mmm3YuW7Ysfd26dQkAI0aMaFm8eHG3Z3XcfffdeUuWLMlqff/MM89suv/++7N27Njhufnmm4fdfPPNwwBeffXVjcOHD4/KhkvhzrF53hjzYhdlzgAWGGN+FI3glFIDh0UKTslFiMJQzEDkSAaJ0uRhtxc8XkiOrK20RA95aUkIkJLgJjctEYcVn70Ofc0SIclp4enrXq/UDH+0l3t3V2TlypWHnZW4aNGi0kWLFnU4FHXppZdWdnR9wYIFtQsWLKhtf/22227bc9tttx22fPyWW27Ze8stt+xtfz1awp1jU07wMMnOzAWuBDSxUWqQqfb/A6cMwwqeTzv4BCrBrgd/7zfDs5vqobEeUxlZW2U1DWwrq8Y2hmZfgE0lldQ3+fC4dCfdcLkt4byRydy7qRpjYGq6p0+e09M9Z1T3ov233AWDcQMLpZTbGoclUd1AdGBx5oU26Ov94Z9WUiqSko6VNyKi+sMyk5k0PAuHZZGXlsik4Vm4nYO0Jy0KXAI5HgeJTh3KGwjC/b/U6bo3EXEAxwG9351KKTWg+O1SqvyP4JLIfhDHA9OyGwJV2E3dTjvoll1TgamuxN4V+ZEKq7fuI2DbVDc0s3JTCZX1vZ/7M1glOC3OGJrIP7bXsrnOF+twxfqEDQAAIABJREFUVDe67LERkfZbHF8pIl/toKgDGAqkAfdHKTal1ABhSRKJ1nG4JT/WocRM8BDMXKyEKByCmZaFZOVijZ0UUf0JwzI5fuJwnA6LUdmpHDdxGCkJR+ZogHiV4BBGJzr/P3v3HV91dT9+/PX+fO7N3gkk7DBC2GEEUBQnaKmIddQ6Kq222kqxbtv67U9tbd1Y96COFhyAG1FrsQ5UBGWPMGWPkEX2uvd+zu+Pm4QkBpJ7P0nuTXKej0ce5PO55xzeN2Jy8v6c8z5EO/RapWDXXMamJ94JSw+82Zroetf1PxKBw8DTQNc71lfTurgSz1JKPB/hMOw/humoVNUOcB/BqsiyPZZ1NA+Vl41nm3/H52zYm8snG/bi9ljkFJfz3/V7OXy0ixZObCVxISZjEkJ5dkcRuZV6xUUwO2HGRilVd+6TiFjAg0qpv7Z5VJqmdSghMoAYczoO6RboUALGCBsCzl4YkWPsj5WUgqT0xhyR6Vf/zIHJ5JVU4DANBibHcd7YAXSL6aKLultRYojJkJgQwvRypaDmyxqb84HX2yoQTdM6rgLXs5Rb3+CQrnsGrlW+EVwHsUpX2h8r5yAq+wCedcv96v/N9kO8++0O3B6LgwWlvPPtDnYdKbIdV1eXEu4gMdTkye1FVHeioxbmzZsXJyLj1q5dGwawbdu2kLS0tOGN291yyy09u3fvPqr27KeFCxfGAixZsiQ6Ojp6dO39SZMmDW6q/ZAhQ4bl5eXVTQt37NgREhERMeauu+5Kbs3340uBvg9a8y/WNK3ziDAnY4j9+i0dmRE5DkL6YUSdan+snn2RXv1xTDjTr/6Th/amstqDwzQY3DOeS09Op29SF96x1or6RTqo8ISAUnirbbeO5UljMtz5ha22U9mRGOeelLe2RVvIFyxYkDB27NjS+fPnJ4wZM+YHdWfqO97ZT/6cFTV79uw+p59+eqvPuH3euyYihoiMFpHzROSipj5aO0hN04JbTvXduJT93UAdmVW6Aqr34in+3P5Y+3ejDu7GvXypX/0/3biPV7/MwuW22J9Xwutfb2HjvjzbcWmQFh1CbpWHf+3+QT06W1pzUuPLeEVFRcaqVauiXn755T3vvPOOf8fJ+2H+/PlxqampVUOHDm317Xo+fSFF5GfAHLwLhptsgneRsX4CqWldSJzjSkKNH2SuuxQzejISOggz7lzbYxl9ByL90jBP+7Ff/c/JSMU0hBCnSXrPeH5x+nCG9U5svqPWIhlxoVS4FZZSGB38HKlXX3017owzzigaNWpUVVxcnOerr76K6Nat23GrFr/44ovdFyxYkJiRkVH+zDPP7O/WrZsHYNWqVVFDhgwZBnDBBRcUPPjgg9nQ8EiF2NhY98qVK7cXFxcbc+bMSfniiy+2/+Uvf0lp7ffU4oyNiJwFvAZUAPfgncT8B7gfWF5z/Ra66rCmdSnV1m5yXH/H3cXPwfWUfIaq2onn6Pu2x7L27EDt3YH708V+9f9gzS5e+N9Gql0e9uWV8O8vNvPN9hM+YdB8MCI2lE9zyvlvdnmgQ7Ft0aJFCZdffvlRgIsvvrhg/vz5Ccdre/PNN+fs3bt345YtW7JSUlJcs2bN6lP7WmZmZunWrVuztm7dmlU7qQHvo6ja+ytXrtwOcNttt/WcPXv2kdjYWKst3pMvGZvbgSJgglLqqIj8BVhZu0tKRG4EHqr50DSti3BITxIc1xFlnhXoUALKjD0XCUvHkWD/abwxcCgyYCiOc5sqG9a8GeMHEhsRQojTZHDPeH599igmDGr1X4y7rBADTu0WTnJox344kZ2dba5YsSJm+/bt4bNnz8bj8YiIqJtvvrnJQrt9+vSpy+TMnj07d/r06Wn+/L2rV6+O/OCDD+Lvvvvu3sXFxaZhGISFhVl33nmn/fNI8G2NzXhgsVKq/iFYdf2VUo8D3wF3tUZgmqZ1DMXutyhwP4NFaaBDCShP4Yeoym24CxbZHsvasQm1awvuj/zbiPrOyh088eEaXG4P+3KLeeF/G/jv+q69Bqo1iQi9wh28vq+UHSXVgQ7Hb/Pnz4+/6KKL8g8dOrTx4MGDG7Ozszf07t27es+ePU1Wc9y7d6+z9vMFCxbEpaen+3X8/OrVq7cdPHhw48GDBzdee+21OTfeeOPh1prUgG8ZmyjgYL3rKrwF++pbCfzSZkyapnUg4cYEEh2/J9QYFuhQAsqMvwA58hzOpJm2xzLSR2GkjcQx/ed+9f/pyekkx0bidJik9Yjnd+eO4czhfZrvqLVY7wgHp3YL69CViN94443EO+64o8Ep2xdccMHR++67r8fu3btDk5OTR9Xev//++/cvXrw4LisrKxygd+/e1S+//HKzs+X6a2wA3nvvvZ3p6eltOhsUpVq2F19E9gL/UUr9puZ6F7BJKTWjXpvngcuVUjFtEWygZGZmqlWrVgU6DE0LSgerfsdR10sMiyzouid7A9WHHsW1/1YcKTcT2u9RW2O51y6nfPYMzJPOJnLOQp/7X/vsx7z6ZRZF837P3txiBv/+BR6+6gxunTHeVlxaQ2/vL2VjYRV/HpGAeYJFxCKyWinVoNri+vXr92RkZNRtVQvkdu+OaP369UkZGRmpTb3myxdxC1D/EJTlwEUiMlYptUZEBgE/rWmnaVoXEWNegJO+XXpSA+BIugx37r8wk661PZYxPBMjPQPnRb/yq/8Vk4fSr1s0TodJavdYbpmeyXljB9iOS2toQmIoCSEGLkthmvYyN515EtLefFlj8xFwqojUVgh8pKb/tyKyG9gMxAEPtG6ImqYFs+zqP1Hksb+upKNz572KqtyIJ/c522NZm77F2rYe15v/9Kv/K8uy+NtbK3C5PRwpLOPRJat47Sv9O2dr6xXu4IucCt4/qM/hCia+ZGyeB5bg3RmFUmqdiEwD7gYGAt8C/1BKvdPqUWqaFrQSHL/BIbpGiiPpatx5r2J2n2V7LGPUSRhDx+C89Dq/+v/i9OEMSonD6TDpmRDFnRdO5OKT7J86rjUkIlzQOxJLgVIK6eA1bTqLFmdslFKVSqnvlVKV9e59ppQ6QynVRyk1WSn1dtuEqWlaMLJUFYerZ1Pi+SjQoQScO+8FVMV6PEeesj2Wte4brC1rcS3wL/vz8uebuGfRctwei8KyKu5/91v+9dkm23FpP2SI8PaBMnaWugIdilbDlwJ9i0Xkz60dgIicVjP2QRFRIvLLRq+LiNwjIodEpEJEPheR4Y3ahIrIkyKSJyJlNeP1btQmXkTmi0hRzcd8EYlr7fejaV2JIaF0c95JovOGQIcScEbSdUjEGMweN9kfa+wpGMPH4bxitl/9rzlrBPdedioO0yA+Koy/XDqJy08dajsu7YfSo0OYkhxOpM01Nlrr8WWNzVQgog1iiAI2ATfirWrc2B3ArcANeGvp5ABLRaT+VvPHgIuBy4HJQAywRETqV096DRgLTAN+VPP5/FZ9J5rWxVR4VpPj+gtlnmWBDiXgrNznUeVr8Ry2tyMKwFrzJdbm1bhefdKv/i98spE/L/gSt8eistrNPYuWM/cTvTa1LYSaws5SF6/t7dp1nIKJL2tsvgd6tXYASqkPgQ8BRORf9V8T7wPLm4AHlFJv1dz7Bd7JzRXA8yISC/wKuFoptbSmzVXAXmAK8LGIDMU7mTlVKbW8ps1vgC9FJF0pta2135emdQUhMpRE563EOa4IdCgBZ3T7DVLwBmbyrbbHcmSejjEsk5CZN/rV/9dnj2Rk3yQcpoHDNLj/ytM4afDxjvjT7Ppxz0i+L6mmyqMI1ZmbgPNlYvMy8EcR6aGUOtxs69bRH0gB/lt7QylVISLLgEl4FzSPA5yN2uwXkS01bT4GTgZK8W5Rr/U1UFbTRk9sNM0PRZ4F5LvmEOM4nyhOD3Q4AVWXsTkyB0f/p22N5fr2M6ysVVTPexxnpu9f139+soEFy7dy0/RMTEP4fwu+4ifj05g8VBfpawsCfJxdgSHCKd38K3uQVZqU4SG/1erYmCS6h0XlnTBNZ5rmuLS0tAqlFKZpqscff3zf1KlTy5YvXx4+a9asfqWlpaZhGOr2228/fO211x493jgTJkxIz8nJcYaFhVnV1dUya9asI7fddlseeE8Pv/766/t8+eWX0aGhoSouLs790EMPHTjrrLPK9u3b55g1a1bf9evXR4SEhKjevXtXPfnkk/tHjRpVZee9+/JFnAecjjfL8Te8xydk4z3NuwGlVIGdoOqpPdzkSKP7RziWPUoBPEBeE21S6rXJVfWqESqllIjk1GvTgIhcB1wH0LdvX3/j17ROLdI4g27OPxFpnBroUALOSL4eKXgTs4f9jI1zwplUDc8k1M+MzXVTM8hI7YbD9K42ePiq0/Xp3m0oJczk/F4RxDr9PzuqNSc1LR0vNDTU2rp1axbAW2+9FXPnnXf2njp16raoqChr/vz5u0eOHFm1Z88e5/jx44deeOGFxUlJSZ7jjTVv3rxdp512WvmRI0fMtLS0kbNnz84PCwtTV155ZWq/fv2q9uzZs8k0TbKyskI2bNgQblkWM2bMGHTFFVfkL1myZBfA8uXLww8dOuRsz4nNEbyTGAFePEE75eO4LdF48iRN3GuscZum2h93HKXUXGAueCsPtyxMTetaCtxPk+d6lKSQW3CQFOhwAso68iyqfA2ew62Usdm8iqp5j+PwI2Pz/NL1LFy+lZvOy8Q0De5etJxT0ntx9qhUW3FpTRMR9pS6ySou554RCR1y23dRUZEZGxvrBqg/sUhNTXUlJCS4Dx8+7DjRxKZWcXGxGR4ebjkcDrV58+bQtWvXRr777ru7TNM76Rs2bFj1sGHDqhcvXhztcDjUHXfcUXdG1KRJk/w6e6oxXyYgb9P8ZKK11R59ngLsr3e/O8eyONmACSQBuY3aLKvXpruISG3Wpmb9Tjd+mA3SNK2Fos0ZOOiJQ7r2pAZq1tjkt84aG2/GZhwhV9nI2PTrhlmTsbn/isn0ToyyHZd2fOf2iKBbmEmZRxHVQc6PqqqqMoYMGTKsqqpK8vLynB9++OH2xm0+++yzCJfLJcOGDTthFmXmzJkDQkJCrH379oXde++9+xwOB+vWrQsbNmxYucPxw6nGhg0bwjMyMspb8e3UafHERil1SVsE0IzdeCclU/E++kJEwvDufLq9ps1qwFXT5rWaNr2BoRxbU/MN3t1XJ9e7dzIQScN1N5qm+SDX9SAV1iq6hdr/Yd7RWbnPoypaZ42Ne9UXWJtXUz3/cZzjfc/YzK3J2Nw83Zux+fvbKxiUEs954wbZiks7Po+CT49UIMCZyW2xgbj11X8U9cknn0ReffXV/bdv377ZMLwT4r179zqvvvrqAS+++OLu2ozL8dQ+ijp06JDj5JNPHnLBBRcUt/07aFprPzLymYhEAbX/txlAXxEZDRQopfaJyGPA/4nIVmA78Ge8C4FfA1BKFYnIi8DDNWtm8oFHgQ3AJzVttojIf/DuoroW7yOo54ElekeUpvkvznElcegdUVCbsVmEmXKz/bHGTsYYNhbnFf7VB/r1lFENMjb3XDqJmPBQ23Fpx5cYanJR78gTHoYZzKZMmVJ29OhRx+HDhx29evVyFxQUGNOmTRt01113HTz77LNbfGZEz5493SNGjChftmxZ5Mknn1y+ZcuWCI/HQ+OJ0ciRIyvefffd+FZ/I/hWx6aOiPQWkakicmErxJAJrK35CAf+UvP5X2tefwjvROVpYBXQAzhHKVVSb4yb8T4qW4h3t1MpcL5Sqv7zwCuB9Xh3T31c8/lVrRC/pnVZOdV3U+CaG+gwgoKVNxdVsQ5P9uP2x1rzNVbWGlyv+1fF+MVPNvDnBV/h8VgAPLJ4FY8s/s52XNqJ7Shx8e6BjlnPZu3atWGWZZGcnOyurKyU8847b9Bll12Wf8011xx3N1RTSkpKjM2bN0ekp6dXDR8+vGrUqFFlt9xyS0/L8v5b3LhxY+grr7wSd/7555dUV1fLnDlz6p5jf/HFFxEffPCB7WemPmVsRGQI3kxH7RaIuoXCInI68AYwUyn1n5aOqZT6HG8G5XivK+Cemo/jtanEW8DvuL/e1OzU+nlL49I0rXkJzt8SZmQEOoygYCReg+QtxEz2r1pwg7FGn4wxdCzOy/w7d+rqM0cwok9SXcbmzosmtv8KyS7oRz0iiA8xKHVZRDl9yxuYJLpbe7t3c21q19iA96yrZ599do/D4WDu3Lnx3333XdTRo0cdr732WhLASy+9tPtEi3tnzpw5oHa792WXXZY3efLkcoBXXnllz6xZs/r069dvRHh4uBUXF+d5+OGH9xuGweLFi7+fNWtWn8ceeywlNDS0bru33fcu9XZAn7ihSH+861wi8VbsTQXOVkqZNa+bwAHgQ6XUr+wGFkwyMzPVqlWrAh2GpgUVS1WTVRZNnOMqeoe9EOhwAq760MO49t+BI/kGQlOfsDWWe81XlN/wE8zxZxD52Js+95/5xAe8sWI7Za/chGEIE/44nyqXh/VzfmkrLu3EDpa7eXZnETN6RTIhMazuvoisVkpl1m+7fv36PRkZGY3LlGgttH79+qSMjIzUpl7zZXZ4NzULcJVSa0XkbuDs2heVUh4R+Ro4yU6wmqZ1DIJJovNmYh2XBTqUoOBIugp37nzMbtfbHssYMQFJz8B5ya/96v+LM4YztHcihuFNht8yPZPiimrbcWkn1ivCwfSeEUT4X85GawW+5MrOAd5RSq09QZv9eNfAaJrWybnUPvJcD1Hm+TjQoQQFd95rqMqNePL+aXssa/Mq1Lb1uN552a/+85dl8fe3V2BZ3oz8Pz/ZwJz39Rqb9rChsJrPcioDHUabmDp16sAhQ4YMq//x1ltvxQQ6rsZ8ydgk4j1/6UQUENZMG03TOgFTEkhwXE+seWWgQwkKjsRLcOW+hLPbNbbHMoaOxkgbgWPGTL/6X3HqMAYkx9VlbK4/dzQH8kqa6aW1hgt6R7C6oHOeG7V06dLvAx1DS/iSscnFe3bTiQwFDvofjqZpHUWltYEC9zNUqBWBDiUoeI6+B5WbceXNsz2WtW0D1o5NuJe84lf/BV9vYc7731G7hvKVZVk89uFq23FpzTtcYbE8r5LcqmbX7mptxJeMzRfARSLSXym1u/GLIjIKb5E8vfdT07oAp/Ql3nEtUeY5gQ4lKJhxP4bsp3EkXGp7LCNtBNJ/KI5p/q1fuuTkwfRJiq4r7f/LM0awab9ep9oeRseHkl3pwmUFOpKuy5eMzf01f34pIlfhPcIAEelXc/0BUAHMad0QNU0LRuWebzjqfoEq6wdV2LskT9HHULUNd8Hbtseyvt+C2r0F98e+74gCeGflTp76aG1dxuatldt56j9rbMelNc9tKb7Lr2ZzkV6sHSi+HKmwSUSuwHvK979qbguwq+bzcuAypVSHeAanaZo9ocZg4h3XEmaMDHQoQcGMPhNCB2HGn297LCM1DemXhuOsGX71Pz9zIN1iwusyNpecnE6fpGjbcWnNcxjCbUPjCKlZ33Rgd06AI+p6fCoGpJR6R0QGAb/Gu607ESgCVgBzlVKHWz9ETdOCUZnnCwrd80gOuRtDegY6nIDzlHwJVTvxFH6EI/pkW2NZ+75H7d2BZ9mHcO5Pfe7/4ZpdvPPtDv5+xWREhI/W7OLtlTv4++WTO+TJ0x1NuHnsYcj2zS2rN3f1uX/PKCkqb7UCfdGxEe6XP/6/9SdqY5rmuLS0tLqie++9997O9PT06s8++yzi9ttv75OXl+cUETVhwoTSF154YX90dLS1aNGimL/+9a+9ysvLDaUUU6dOLZo7d+6BE/096enpwwYPHlzx/vvv1y1jeemll+Lvu+++nrt27Qr7/PPPt5x22mmtdiCmz19EpdQR4O+tFYCmaR1TqDGUeMc1OERXeAAwoyeBMxUz5izbYxl9+kPv/jhO8W/90pRR/YgKc9ZNYqaNGUCY09STmgAYNLR3i9q15qSmpePVPwSz1v79+x1XXnnlwHnz5u2aMmVKmWVZ/Pvf/44vLCw0tm7dGnLrrbf2Xbx48c4xY8ZUulwu5syZ0+1Ef8eaNWvClFKsXLkyuri42IiJibEARo8eXfHWW2/tvPbaa1NtvdEm+HVWlKZpWplnGUXuRSiqAh1KUPCUfgeuPVilX9keyzq0Dw7sxr3yU7/6f755P69/vbVujc2yLftZsHwrbo9e0dre9u7MDnQIPpkzZ073Sy+9NH/KlCllAIZhcPXVVx/t06eP+7777ku59dZbD48ZM6YSwOl08sc//jH3ROP9+9//Trj00kvzTzvttOLXX389rvb+2LFjKzMyMtrkm4fPExsRuUBE3hORfSJSVPPneyJyQVsEqGlacAo1hhDnmIkhunQVgBGZAY5eGFET7Y/VvRek9MEcc4pf/U9J78nFEwfXZWhOH9aH88cNwtAZm3bXZ0D3QIdwXLVnRQ0ZMmTY1KlTBwJkZWWFZ2ZmNvlYaNu2beETJ0706ZHRe++9lzBz5syjV1xxRcHChQsTWiPu5rR4YiMipoi8hvcU7fOB3jX9e9dcvy0ir4mIzgJpWhdQ7vmaUs+HgQ4jaFgVWeA+iFVmv16MlXsIsvfj2bDSr/4rd2bz/upj+zhW78pmyervcXk8tmPTfHN4f36gQziu2kdRW7duzWqL4ntffPFFREJCgnvw4MHVM2bMKN68eXNEbm5umx844csk5DbgMmA93olMtFIqGogGZgAbgJ/VtNM0rZMLMQYS6/B9YWtnJaFpYHbHCB9heywjKQUSkzGHjPar/5j+3Tm33vmAY/snc9aIPpiG/r2zvXXvGR/oEHwydOjQilWrVkU09drgwYMrV65c2eRrTZk/f37Crl27wnr16jWyX79+I8vKysz58+e3+RfEl3/lvwL2AKcqpT5QSpUBKKXKlFJLgFOAfXh3TGma1slVWGsot74NdBhBQ1XtAU8uVoX9uj7W0VwoyMHzfVbzjZuweX8ey7Yc26iy/fBRvtp6iGq3zti0t/ycokCH4JPbbrstZ9GiRYmffvppZO29Z555JmHfvn2OP/3pT9mPPvpojw0bNoQCeDwe7rnnnuSmxvF4PCxZsiRh7dq1mw8ePLjx4MGDG19//fWdb7zxRps/jvJlYtMX7yGYTT5fq7n/DtCnNQLTNC24OaUXkebkQIcRNCSkF5jxGGHNnTzTPCMmAYlNwOwz0K/+g1LiyRxw7OdNWo94xvTvjmnoNTbtLT6xZfWDomMjWvUMBn/H69Onj3vevHm7br/99t6pqakjBgwYMPyrr76Kjo+PtyZOnFjx4IMP7r/88ssHDBgwYPjgwYOHHz582NnUOB999FF0cnJydf/+/V2196ZNm1ayc+fOsL179zrnzZsXl5ycPGrdunWRF154Ydqpp56a5u97bcyX7WXZeAvynYgAR/wPR9O0jqLK2oZDmvxlrWtyZYOnEFVt/7g8q6wYVVyIld2yGiiN7csrJuvAsbUdhwpKyTqQj8ttEdrkjyGtrZQUtWytbXM1Z9pCeXn52qbuT5kypWz16tXbmnrt8ssvL7r88subTUNNnz69ZPr06Vvr33M4HOTm5m4AmDlzZuHMmTML/Ym7Ob5kbBbhPSuqyedrIhIFXAQsbI3ANE0LbqbEEWoMC3QYwcORAEYkOE5Y1qNFjLBIiIhEEvzbUZMcG0n/7rF11z3iI+nXLQa9Kar9RUaHBzqELseXic3dwHZguYjMEJE4ABGJq9nq/RWwraadpmmdnEtl41EFgQ4jeHhKwKoAj/1fQlV1JVRWoEr8G+toWSXZhWV118UV1WQXluH2KNuxab6pqnQ136iD+8Mf/pBSu2289uMPf/hDSqDi8eVR1BG8j5oi8a6lQUTc9cYQoAzIaVTdUimlYtE0rdNQykIwddXh+owwECcY9n9DF4cDnCFIWIs3oDQQEeIgLvJYfaGY8BCiw0Jsx6X5zuls893NAffggw9mP/jgg0FTidCXic12QE/3NU0DQFENtOp6x45NeQCr5k+bQ1kWWBZ4/Pv6ui3VYAeUp+baUvpbeHuzLP01b2++nO6d2ZaBaJrWcSiqsVQZRtNL7rooC1CtMrHBskDVTG784PZYeOr1NQ2h2u3RRypoXYKu1qRpmh8EQ2IQ9MLIOkao91GU2RqPokLA4YRQ/46riAh1EB1+7NFTqNNBTESo3u4dAI4u8Cgq2OiJjaZpPlNU4LYOALrgWx1PKViV4Cm2PZRyVUF1JarUv+JuR0uryKm3zbjK5ebw0VIqXfq/V3urrgrexcMRERFjGt+75ZZbet51113JAJZlcccdd/To16/fiNTU1BHjx49PX7lyZfjx+j/xxBOJM2fO7Nt4nIsvvji1V69eI9PT04elpqaOuPDCC1N3797dZoUHfD4mXUTOBEbjPSOqqcCUUupGu4Fpmha8BCdOIxVT2uVMu47BjAczCmmF7d4SHgHhURj+bveOiyC127E9G3GRYaR2iyVUZw/aXXhkaIva3be5IKPco3z+mXw8Eaa47xyeYKs2zgMPPNBt5cqVkZs2bcqKjo623n777ZgLL7xw0NatWzfHxMT49Fzzb3/724Grr776qGVZ3Hvvvd3PPPPM9K1bt24OCwtr9UVIvhyC2VNEVgCfAHOAm4HZx/nQNK0T86gSKq1NWKo00KEEDeXKAU9x6xToKy2GsmKsI/6NtTe3mK2Hjm3FLyqvIutAPiUV1bZj03xTVlzZonatOalprfGeeOKJHs8888z+6OhoC+Ciiy4qnjBhQuncuXP9/o3GMAzuvvvunKSkJNebb77ZJjumfXnjTwAT8BbqmwccRG+J0LQuyZAIwo2xOKRnoEMJGhLaCxyJSGiq7bGM6DgkNhGjzwC/+qf1iKewrKruOiUukrEDkokK02WH21tMfMdcYF9QUGBUVFQYw4cPr6p/f9y4cWVZWVm2F5KNGjWqfMuWLf4tImuGLxObqcAwLWC+AAAgAElEQVSnSqnL2iIQTdM6Do/Kp8yzjDjHzwMdStBQVXvAnYdV2QqHYBbmowrz8Oza2nzjJmzal8fX245le3KKyvlq6wHySypJiumYP2g7qsL8zpXVVM2UDBCRFj1aam4cO3xZPGwBa9oqkOMREVNE7hWR3SJSWfPn30TEUa+NiMg9InJIRCpE5HMRGd5onFAReVJE8kSkTEQWi0jv9n4/mtYZmBJHlDmFEMP+gY+dhRE6GJw9MMJH2B8rsTvSrSdmeoZf/ccOSGbKyH51132Topkysh8JUW3yC7J2AknJHbM+bUJCghUeHm5lZWU1qOy4du3aiMzMzDKA0NBQq7Kysm6rXUFBgSMpKalFT3I2btwYMWzYsIrWjdrLl4nNSmBIWwTRjD8AvwN+X/P331hz/ad6be4AbgVuAMYDOcBSEal/rOpjwMXA5cBkIAZYIiJ6NZ2m+cilsinxLMGl9gU6lKBhVWaB6zBW+Tr7Y+Vlo3IO4tn0nV/9v9l+kA/X7qq73p9fwpLVuzh8tHNlDzqCI4eOBjoEv82ePTv7d7/7Xd/S0lIBePfdd6O3b98e/stf/vIowMSJE0uee+65BIDS0lJ555134qdMmVJyojEty+Jvf/tb99zcXOfFF19sfwthE3x5FHU38JmInK+Uer8tgjmOScD79f7OPSKyGJgI3mwNcBPwgFLqrZp7v8A7ubkCeF5EYoFfAVcrpZbWtLkK2AtMAT5ux/ejaR2eQ5KJMS8iVNIDHUrQMCIyIKQvRtRE+2Ml90Z69MMce6pf/ScP7UNs+LHdOGk94rloYho94qNsx6b5pkefxECHcFyVlZVGcnLyqNrr66+//kj91++8886cwsJCc/jw4cPdbre4XC7ZuHHj5oiICAXw7LPP7r/mmmv6Pffcc8lKKS677LL8adOmNTl7/vOf/9z7gQce6FFZWWmMGTOm7NNPP93WFjuiwLfKwytF5MfAmyLyDd7HUk0WWVBKPdpK8YH3cM1ZIjJEKbVVRIYBZwH317zeH0gB/lvv768QkWV4J0XPA+Pwbk2v32a/iGypaaMnNprmA5e1hyLPImLVpYRh/9FLZ2CVrYbqfXhKvsQRe5a9sQ7tRR3ei+e7z2HGVT73/9/GvXy+eT8PzTwDgJ2HC3njm23cPD2TbrF6jU17OrQ3r0XtIkxxt/Z27+baWJa1+kSvG4bBI488cviRRx45XFRUZEybNm3gvffem/LUU08dBOjfv7/rs88+29lU30cfffRQ7edvvfXWHh/Dt6XFX0QRiQRuARKA82o+mqKA1pzYPAhEA1ki4sEb89+VUs/UvF57guiRRv2OAL3qtfEAjf+FHanXvwERuQ64DqBv37524te0Tsdp9CPOcSVhhp7U1DKjToLQAZgxZ9sey+idivQZiGPSVL/6/2h0f3olHMvODO+TyJWTh9K/e8dc79GR9RnQslpEdmvOtLXY2Fhr+fLlOwIdR0v4ssbmEWA6sBzvGpcLgfOb+JjRyjH+DJiJ97HS2JrPZ4nIrxq1a5zSkibuNXbcNkqpuUqpTKVUZrdu9gtuaVpnUmVtp9A9nyprc6BDCRqekq+gaheeIvsJYGv/btT+73Et+8iv/u+v2sm8L479t9l6sID5y7LYcjDfdmyab/bsCJpDr7sMX9JeFwLfAZNVW+7T+qGHgUeUUgtqrjeKSD+8i4dfBGr/1aQA++v1686xLE42YAJJQG6jNsvaKG5N67RCjcHEO64hzPhBRfYuy4w5A8IGY8ZNtz2W0S8N6Z+O46yf+NX/JxPSGNzzWA21Uf26cc2ZIxnaK3jXe3RWA4foWk/tzZeMTRTwRTtPagAi+OGBNB6Oxb4b78SlLmcrImF4dz4tr7m1GnA1atMbGFqvjaZpLVRlbeao+0UqrbWBDiVoeIqWQuV2PEfftj2WtWsLavc23Evf8Kv/m99s5/mlx55sbNqfx4ufbmTt7sZP7LW2tiPrwPFesizL0qeS+qHm63bcIx18ydhsAPo126r1vQ/8UUR2A5uBMXjX+swD78FUIvIY8H8ishXYDvwZKAVeq2lTJCIvAg+LSA6Qj3cd0Aa8R0RomuaDMGMkCY7fEG7Y3wHUWZhx5yFHnsGReLntsYxBw5FBw3H82L+xLj91CKP7H3uEPrZ/Mr+ZmsGY/sm2Y9N8kz7yuGs0N+Xm5g7r1q1bkWEY7Z0w6LAsy5Lc3NxYYNPx2vgysbkfWCQi45RSJ1xJ3cpuAO4FnsH76Ogw8E/gr/XaPASEA08D8Xhr7pyjlKq/n/5mvEdALKxp+z9gplJKH3eraT6q8KyhwP08UY4fEWv497iks3EffQ9VuQV33nzMyNG2xrJ2bELt3Ix7ySuEnnG+z/3nL8vi660H+eOFJwGwfm8Ozy9dz7Qx/blgQpqt2DTfbF2/t8n7brf719nZ2S9kZ2ePwLenJ12dBWxyu92/Pl4DXyY2TuAD4Kua7Mdqjr/d234u9thYJXjr1Nx0gjYKuKfm43htKvFOkm5ordg0rasKNzNJcMwi0vSvzkpn5Ei4BHfui5iJV9sey0gfjTF4JM4LfulX/5mnD+ekwcfWdmQOTOF3545mUrpe79Heho1tujr3uHHjcmj9zTYavk1s3sS7g0iAWTS9m6h2l5Gu5qtpnVi5ZyUF7meIcpxNrOOiQIcTFNz5C1EVm/DkvYgj6h+2xrKyVmFt34jrnZcJmTzN5/4vf7aR5dsOcduM8QCs3Z3D0x+vY/KwPvzslEAUkO+6Nq/e1XwjrVX5MrHRmQ5N0wCIME8mwXEDkcYZgQ4laDiSrsKdNw+z+29tj2WMmIAxZDTOi4+bbT+hX589ijOGH1vbMWFQCjdMG8uZw/vYjk3zzYhM/05o1/znS+Xhp9syEE3TOo5yz9cUuJ8kynEascYlgQ4nKLjz/oWq2IAn52kcqU/YGsvasBJr6zpcb8wl5JRzfO7//NL1rNh+mBvPGwfA6l1HePKjNWQOTGbmGbqoYnva8O33gQ6hy2m18s2apnUdEcZkEp03EmnYr7LbWRhJ1yB5r2Mm32h/rNEnI8PG4rzid371/+05GZyTkVp3PTGtBzedN45zM/Rp7O1t9MRBgQ6hy/F5JbaIxIjIz0Xk7yLyeL37cSIyTERCTtRf07SOr9z6inzX45R6/tt84y7CynsBVbEOT/Zj9sda9zUqaw2uV5/yq//T/1nHX9/4pu569fdHeOyD1Sxe1eSxPlobWrdCf83bm08ZGxG5DHgO79lNtQuFa389ScW7U+oa4N+tF6KmacEmwjiNRMfNRJm+PybprIyk65C8NzBTbrE/1tjJGMPGEfLz3/vV/3c/Gs3e3OK66wlpPbjl/Eymj9PrPdrb6El6e317a3HGRkROB17BW0fmKrzHGdRRSq0DtuE9ekHTtE6s3PqKfPc/KPF8GOhQgoaV+zyqYg2e7Efsj7XmS6ys1VTPf7z5xk146qO13L3wWFH1tbuP8Oj7q3h7ZYc4w7BTWdcxzo3sVHzJ2PwJ7+nYk5RSR0WkqWnoWmBCq0SmaVrQijROI9F5M9HmjwIdStAwul+P5L+BmXKr7bEcmadjjBhPyJX+bUa9YdrYBhmbcQNSuG3GeF2cLwDG6IxNu/Nljc0EYLFS6ugJ2uwHetgLSdO0YFduLSff9Q9KPO8HOpSgYeU8i6pYiyd7ju2xXN9+hrXpO6pffdKv/o9/uJq7F31dd71hbw6PLP6ON7/ZZjs2zTdrdcam3fmSsQkHiptpE0PThfs0TetEIoxTSXTcQpT540CHEjSMbtcjBW+2SsbGOeFMqoZnEvJz/3ZY/f7HY9mfe+xEmYzU7txxwQQu1Bmbdjdm0uBAh9Dl+JKx2Qs0dwDKeEBPTzWtk6tQ35LvfpQSz3uBDiVoWLnPosrXtErGxr3qC6zNq6h+xb81No9/sIa73ziWsck6kM9D733LwuVbbcem+WbtN9sDHUKX48vEZglwpoic19SLNTumxgHvtEZgmqYFr3CZSJLzVqLMJr8ddElGt98gEWNaJWNjjJ2MMXwcTj93Rf1+2lj+cukpddfDeifyh59M4JKT0m3HpvlmzEk6Y9PefJnYPIB3R9Q7NYdgZgKIyC9qrv8N7Ab8+xVD07QOo1KtI881hxK3/j2mlpU3F1XeOmtsrDVfYm1ejesV/yoYP/HRGv7yxrFdUTuzC3nw3W9Z8LXO2LS3tSt0xqa9+XKkQp6InAW8CtQ/vvYlvDVt1gA/VUo1tw5H07QOLtwYQ6LzVqLM6YEOJWgYSb9G8hZiptxkf6zRp2AMG4fzitl+9f/duaM5eLSs7npQShx/uGACl5ys19i0t9En64xNe/Op8rBSartSajxwKnA73izOncCZSqlMpdTuNohR07QgU2VtJd81hxLP24EOJWhYeS95Kw8f8W8nU4Ox1n2DlbUa14Jn/Or/9MfruO/tFXXXe3OLefC9b1n4td4V1d426NpB7e6EGRsRmQmsU0ptqH9fKbUcWN50L03TOrtQYwhJjluJ1rui6jiSfokr71XM7v6d71SfMWoikj4a50+v86v/b6dmcKiwtO66X7cY/vCTCVw0UWds2tvI8fqsqPbWXMbmX8BP2iEOTdM6EJfaS577UYo8eo1NLXfefKjYgCfnOdtjWZu+RW1bh+utF/zq//wn63n4ve/qrg8fLePhxd/xht6h0+42rdKne7c3fbq3pmk+c0oqSc5biTanBTqUoOFI/BnuvH9hJv3a9ljGsExk8CgcF13jV/9fnz2K7HprbFLiIrn1/ExmjB9oOzbNN8PH6hPV25vPp3trmqa51RHyXP+g2PNuoEMJGu6CN1EVm/Dkv2R7LGvbOtT2Dbjffdmv/i/+byP/+GBV3XVeSTn/WLKad1bqk6bbW9a6PYEOocvRGRtN03zmkGSSnDcTZZwb6FCChiP+QlxH/okj6SrbYxnpo5BBw3GcP9Ov/jNPH0ZOUUXddVJ0BDf9eJw+3TsAhmb0C3QIXU5LJjZxItLXl0GVUvv8jEfTtA7Aoph811MITiIdJwU6nKDgKXwfqrJw57+OGdlckfYTs7ZvRO3cjPuDVwk93fciiK98uYXvswu5cfo4AIrKq3jq47WEhphMHNzTVmyab7Zv2h/oELqclkxsbqz5aCnVwnE1TeugDGJJdMwm0jg70KEEDTP2XAhNwxF/ie2xjAFDkdQhOM6+2K/+P5uUTm7xsYxNbEQovz0ng6mjdPagvQ0c2ivQIXQ5LZmAFAOFbR2Ipmkdh6KKAvdcEIto9OQGwFP8KVTtwF24GDN6vK2xrL07UHu24v58MaHn+j65WbR8G3vzirl1hjeO0spqXvhkAxEhTk4f7lMCXrNp97bDgQ6hy2nJxOYfSqm/tnkkmqZ1GIaEEe+4jgjjlOYbdxFm9KkQMsCbubHJ6NMf+gzA6cdjKIALJ6aRW1xedx0VFsLVZ47kjOF9bMem+abfoJRAh9Dl6F1Rmqb5TClFkWc+pdbSQIcSNDwl30D1LjzF/7M9lnVgD+zfhfvrj/3qv/i771m0/FiV4UqXm/nLNvP5Zr3eo73t330k0CF0OXotjKZpPhMR4sxfEirDAx1K0DCiMsHZBzN6sv2xevaDnn0xx5/hV/8fjU4lv/TYGpvwEAeXnzKUk9J62I5N803Pvt0CHUKXozM2mqb5pdjzDuXW54EOI2hY5evBtR+rdKX9sY4cgEP78Kz5yq/+n2zcy5LVu+quq90e3lq5nRU79HqP9nbkYEGgQ+hydMZG0zS/xJiXEGLorcO1jLBh4OiBEWFvqzeAkZQC3XtijvBvEfLkob0pqJexCXGYzMgcyOjU7rZj03zTrUdcoEPock6YsVFKGcGwcFhEeojIv0UkV0QqRSRLRE6v97qIyD0ickhEKkTkc5GGOXIRCRWRJ0UkT0TKRGSxiPRu/3ejaZ1DufU55daK5ht2EVbVdnAfxqrYZH+s/BzIOYxn23q/+q/YfphlWQfrrj2WYumGvWzYm2s7Ns03+TnFgQ6hywn6R1EiEgd8DQhwHjAUuAHIqdfsDuDWmvvja15bKiLR9do8BlwMXA5MBmKAJSJitvV70LTOKNI8ixBjcKDDCBoSmgqObhhh9r8mRnwSktANc8AQv/qP7t+dkwYfW0/jMA1OH9aHNJ09aHfxiVGBDqHL6QiPou4ADiul6tcW3137iYgIcBPwgFLqrZp7v8A7ubkCeF5EYoFfAVcrpZbWtLkK2AtMAfzbeqBpXViltQFDwgIdRtBQVQfBnYeq2mN7LKv4KKowD2v/ruYbN2Hz/jzyS449irIsxarvs0ntHmM7Ns03xYXlzTfSWlXQZ2yAnwArRWShiOSIyDoRmV0zoQHoD6QA/63toJSqAJYBk2pujQOcjdrsB7bUa6Npmg/CjTE4RK+xqSXOFDBjkRD7lWaNqBiIisVI8a/uzIDkWNJ7JhwbzxBG9u1Gz3idPWhvkdHhgQ6hy+kIE5sBwCxgF3Au8DjwAPC7mtdrqx81LhZwpN5rKYAHyDtBmwZE5DoRWSUiq3Jz9XNpTWvMpQ7gsvSxcHU8+eApQblzmm/bDFVRDuUlWPnZfvU/WFDKvrxjazuUUuzKKeRIkc4etLeKsspAh9DldIRHUQawSin1p5rrtSKShndi81S9dqpRP2niXmPHbaOUmgvMBcjMzGxuHE3rcpxGP5RVFegwgocZBUYYmLG2hxJnKISEIzHxfvVPiAojxHFs+aCI0CshiuiwENuxab4JDXMGOoQupyNkbA4DWY3ubQFqDzyp/ZWmcealO8eyONmACSSdoI2maT5QqgyP0js+6lhVoFzgqWi+bTOUuxrc1VDhX4altNJFSUV1g3tF5dWUV7tsx6b5xu32BDqELqcjTGy+BtIb3RuMd+EveBcSZwNTa18UkTC8O5+W19xaDbgatemNd4dVbRtN03xgSBwKnbE5xgQMaI2NloYBYnj/9CcSQxpkbADCnCaCHKeH1laOLQfV2ktHeBT1D2C5iPwfsBAYA/weuBNAKaVE5DHg/0RkK7Ad+DNQCrxW06ZIRF4EHhaRHCAfeBTYAHzSzu9H0zoFwUQ6xLeQdiIGIK0ysRHDABEw/fv6moaBw2z4A9VhGpiG/iHb3kR/zdtd0H9XUkp9JyI/Ae4D/h+wr+bPZ+o1ewgIB54G4oGVwDlKqZJ6bW4G3HgnR+HA/4CZSimdJ9Q0v5i4VS5KuREJ+m8lbc+qAtxg2V8sqtxu8Lihyr/HWqWV1VRWuxvcK69yUVJZfZweWlvxuK1Ah9DldIjvRkqpD4APTvC6Au6p+Them0q8BfxuaOXwNK1LMiUGh3QH/XjDy4wCaaXFwyFhEBoGUf6NlRgVTlWjtR3dYyOJj9R1h9qbM6RD/JjtVPRXXNM0v1iqkiprO4pKhMhAhxN4nqNglYHbfnkIq7IMKspQR/0ba39+CW5Pw0zBgfwSUuIibMem+aayQmfJ2pue2Gia5hen0YMwYxje2pcajmQw41qnQF9kDBIdh5Hs33F2A5Pj8FgNJzZDeiWQ2s1+NknzTWSUzpK1Nz2x0TTNLx51lHJrBRbFGD+opND1qOqD4DmKVbm7+cbNsIoLUEUFWAf8O1Jh474fZno27M3F0Dt02l2JLorY7vTERtM0v4RIfyKMUzHQjzeg9hDM7hjhrXAIZmwikpiMMWCoX/3HDUj+wb2TB/ckrYd/Bf80/8Ul6GMs2ltHqGOjaVoQcqnDlHr+g1vpI0cAVNUOcB/BqmhcT9R31tE8VF42nm0b/Or/1daDrNhxuMG9ZVsOsLLRPa3tFeTqIpbtTWdsNE3zS6gxmGjzPEzRWQAAI2wIOHthRI6xP1ZSCpLSG3NEpl/9zxzeB4fZ8PfWczNS6afX2LS7pJS4QIfQ5eiMjaZpfnGpfRR73sZl7Q90KEHBKt8IroNYpSvtj5VzEJV9AM86/wqjf7RuN0s37G14b+1u/rdx73F6aG3lyMGCQIfQ5eiMjaZpfgk1hhPr+BkOo0egQwkKRuQ4COmHEXWq/bF69kV69ccx4Uy/+p8/buAPjlS4aGIaPeP1eo/21rOvXljf3nTGRtM0v1Rb2yl0v0a1tTPQoQQFq3QFVO/FU/yp/bH270Yd3I17+VK/+r+1cjvvr/6+wb03V2xn8arvj9NDayv7d+cEOoQuR2dsNE3zS5iRQZzjF4QYAwIdSlAwoycjoYMw46bZHsvoOxDpl4Z52o/96v+zSUMIb1Tx9srJQ+kWo3ewtbd+g1ICHUKXozM2mqb5pcraQqH7ZSo9GwMdSlDwlHyGqtqJ5+j7tsey9uxA7d2B+9PFfvWfvyyLRcu3Nbj3ShP3tLa3e/uhQIfQ5eiMjaZpfgkzxhDvuJYwc0SgQwkKZuy5SFg6joSLbI9lDByKDBiK49yf+tX/6jNHEBXasCL0r84eSUJkuO3YNN8MHGK/ErXmG52x0TTNL1XWVo66/0mZ5+tAhxIUPIUfoiq34S5YZHssa8cm1K4tuD963a/+c5euZ96yhvV0XvjfRv71+SbbsWm+2bH5QKBD6HJ0xkbTNL+Em6NJcFxPhHFSoEMJCmb8BciR53AmzbQ9lpE+CiNtJI7pP/er/2/PHU1MWEiDe9efM5rYiFDbsWm+GTKqX6BD6HJ0xkbTNL9UWTsocD9LieejQIcSFNz5b6Iqs3DlvmR7LGvLOqwdG3EvnudX/yc+WMNLnzXMzjzz8TqeX7redmyab7LW2T87TPONzthomuaXMGMEiY4biTLODnQoQcGRdBnu3H9hJl1reyxjeCZGegbOi37lV/+bp48jLrLhqdI3/ngskWH6JPb2Nnxs/0CH0OXojI2maX5xqX3kux+nyPNGoEMJCu68V1GVG/HkPmd7LGvTt1jb1uN6859+9X948Xc/yM48/uEanvpore3YNN9sWuXfCe2a/3TGRtM0v4TIIJKcdxBtTg90KEHBkXQ17rxXMbvPsj2WMeokjKFjcF56nV/9b58x/gc1a26bkUmo0zxOD62tjMgcGOgQuhydsdE0zS9ulUue62EK3f8OdChBwZ33AqpiPZ4jT9key1r3DdaWtbgW+Jf9uf+dlTz9n4bZmTnvr+IfS1bbjk3zzcbvdGXu9qYzNpqm+cVppNDdeTcxjhmBDiUoGEnXIfmLMHvcZH+ssadgDB+H84rZfvW/86KTSI5tmLG544IJOE39u2x7y5g4KNAhdDn6X7mmaX6xVAU5rnspcNlfU9IZWLnPo8rX4jn8qP2x1nyJtXk1rlef9Kv/X99YzlONMjYPvfctDy/+znZsmm/WrdAZm/amMzaapvnFkHBSQu4n3Dg50KEEBaPbb5CCNzCTb7U9liPzdIxhmYTMvNGv/nf9dBI94yMb3PvjhRMxRWzHpvlm9MlpgQ6hy9EZG03T/Hak+h7yXY8FOoygUJexOTLH9liubz/DylpF9bzH/ep/18KveLLRDqgH31nJg+9+azs2zTdrl28PdAhdjs7YaJrmtx4hj+A0UgMdRlAwkq9HCt7E7GE/Y+OccCZVwzMJ9TNj85dLT6FvUkyDe3+6cKLtuDTfjZ00ONAhdDk6Y6Npmt9yXfeT53oo0GEEBevIs6jyNXgOt1LGZvMqqvzM2Px5wVc8+dGaBvcefO9bHnxPZ2za2xqdsWl3OmOjaZrfkkP+hqBPjIaaNTb5rbPGpjZjE3KVfxmbey6dxIDkuAb3/nDBBJTtyDRfjZ2UHugQuhydsdE0zW95rn+Q6/pboMMIClbu86iK1llj4171BdbmVVTP93ONzYKveeY/6xrce3jxdzzwzkrbsWm+WfuNzti0N52x0TTNb92df8ajigIdRlDwZmwWYabcbH+ssZMxho3FecUNfvW/59JJpPdMaHDv9hkT8FiW7dg03+hdUe2vw2VsROROEVEi8lS9eyIi94jIIRGpEJHPRWR4o36hIvKkiOSJSJmILBaR3u3/DjSt88h3P0uO6y+BDiMoWHlzURXr8GT7l2VpMNaar7Gy1uB63b8qxnct/Jrn/tvwrKg573/HQ3qNTbtbv2JHoEPocjpUxkZETgKuBTY0eukO4Fbgl8A24C5gqYikK6VKato8BlwAXA7kA48CS0RknFLK0w7ha1qnk+S8lSpLp9oBjMRrkLyFmMn+VQtuMNbokzGGjsV5mX/nTt11ySSG90lscO+W8zNxeXTGpr2NGq8rD7e3DpOxEZFY4FXgV8DRevcFuAl4QCn1llJqE/ALIBq4ol7fXwG3K6WWKqXWAFcBo4Ap7fpGNK0TKXS/TE71XYEOIyhY+f/2ZmxynrY/1oYVWFvW4Fr4rF/973nja17438YG9x7/YA1zdOXhdrdh1feBDqHL6UgZm7nAm0qpT0Wk/nfS/kAK8N/aG0qpChFZBkwCngfGAc5GbfaLyJaaNh+3Q/ya1ukkOK4n1BgV6DCCgiPpSty58zC7XW97LGPEBCQ9A+clv/ar/50XnsTo/t0b3Lvhx2Opdrltx6b5ZmTmgECH0OV0iIyNiFwLDAL+XxMvp9T8eaTR/SP1XksBPEDeCdo0/juvE5FVIrIqNzfXr7g1rbMrci8kt/rvWKoq0KEEnDtvAapyE568f9oey9q8CrVtPa53Xvar/9/fXsH8LzY3uPfMf9by+IdrjtNDayub1+wOdAhdTtBnbEQkHbgPmKyUqj5B08YlGqSJez8Y/nhtlFJz8WaJyMzM1OUfNK0JcY6ZGBKHEBLoUALOkXgJrtyXcHa7xvZYxtDRGGkjccyY6Vf/22eMZ8KgHg3u/WZqBpVuvZywvQ0b3T/QIXQ5HSFjczKQBGwSEbeIuIHTgVk1n+fXtGuceenOsSxONmDWjHO8Npqm+ajE8z75rn9gURjoUALOc/Q9qNyMK2+e7bGsbRuwdmzEveQV3/taikfe/45F32xrcP/FTzfy/H/XHaeX1la2rt8T6BC6nKDP2ADvAqsa3XsZ2IE3k7Md78RlKj+XBVMAAA71SURBVPAdgIiEAZOB22varwZcNW1eq2nTGxgKLG/b8DWt84oxL8ZS5RhEBTqUgDPjfgzZT+NIuNT2WEbaCKT/UBzTLvO9ryHcMG0sk4c0rGbxyzOGU1Gt19i0t7QRfQIdQpcT9BkbpVShUmpT/Q+gDCiouVZ4t3L/UUQuEpERwL+AUmomMUqpIuBF4GERmSIiY4D5eLeNfxKAt6VpnUKZ9SkF7mdxK70OzVP0MVRtw13wtu2xrO+3oHZvwf3xmz73dXssnvpoLe+t2tng/itfbuHlzzbZjk3zzfdbDwY6hC6nI2RsWuIhIBx4GogHVgLn1KthA3Az4AYW1rT9HzBT17DRNP9FGdOocuzElLjmG3dyzuRZmNFnYkQMtT2WkZoG/dIwz5rhc1+HaXDt2aM4e1TfBvcvP3UIZZUu27Fpvuk/uGegQ+hygj5j0xSl1BlKqdn1rpVS6h6lVA+lVJhS6vSazE79PpVKqRuUUolKqQil1PlKqf3tH72mdR7lajmF7n/hVtmBDiUotMakBsDa9z3s3YG17EOf+1a7PLz42Ub+22htxxvLt/H6V1tbJT6t5fbu1P9vtLfOkrHRNC0AIo1TiDUvw5TE5htrLWb06Q+9++OYNNXnvg7T4IpThzJlVGqD+xdOSKOk8kQbS7W20KdRPSGt7XXIjI2macGh0tpIkWehzti0MuvQPjiwG/e3n/nct8rlZsHXW/m60dqOD9bs4t1vdx6nl9ZWDu1rXD5Na2s6Y6Npmt/CjFFEmzMwJaH5xlqLGd17QUofzDGn+Nw3xGHyk/GDOGVIrwb3p2akUlKuMzbtLaWX/n+jvemMjaZpfqtWuyjxfIDb0uWgWpOVewiy9+PZsNLnvpUuN++v/p61uxv+N/l88z6WbtzTShFqLZVzWNd4am86Y6Npmt9CjIFEGlP0rqhWZiSlQGIy5pDRPvd1miZnj+hLRr+GaztOSe9Fkc7YtLvE7jGBDqHL0RMbTdP85rYOU259iVvl46R38x20FrGO5kJBDp7vs3zuW+X28OXWg4xvdKTC6l1HyC+paK0QtRYqLCgNdAhdjp7YaJrmN4fRgwgzE1OiAx1Kp2LEJCCxCZh9Bvrc12EIY/snMzClYRZteJ8kCssqWytErYVi4iIDHUKXoyc2mqb5zaMKqbSy8KiiQIfSqVhlxajiQqxs30ttVbstsg7kkV1Y1uD+90cKdcYmAEr117zd6YmNpml+MyWOEEnFezyb1lqMsEiIiEQSfK+BYhhCv24xpDTKFPROiCYiRH/Lb2/hESGBDqHL0f/KNU3zm1KVuNURlNK/lbYmVV0JlRWoEt931Hgsi+zCcoorqhrczyspJ79EP4pqb1X6GIt2pyc2mqb5TSQcQ2LQlSNalzgc4AxBwiJ87qsURIc7iQ5rmCmICguh2m21VohaCzmcZqBD+P/t3X2sJXV9x/H3Z/eysCKgBSk+rdXKk0pFuzbFKq7PxmoalVZDWCV0IQESavogjdUlNmltaE1LmpRGbFkNIrGxisai0iYKqdq6iwYwKiS4NkUE12q7yMPu3fvtHzO3vRzPvXfvufc83DnvVzI5e+b85jff+e65Z75n5jdzpo6fRpIGV3MUBwF3mGup5uZgbg4Oza582SoOzM5xaK4eM3/20BwHZ/3N31Grnv8HDZ+FjaTBJVCzFCvfAWsJc3NQbXGzQrNzTQGzcUMeM//QXDHrTnbkqsz5qHkqStLAwgwbcizhiHGH0imZ2QQzR8CRKx+UvSHhmM2bOKpnoPDRRx3BIwctQEdtZsZTUaMWq8nlbd26tXbv3j3uMCRJ61CSPVW1ddxxTAtPRUmSpM6wsJEkSZ1hYSNJkjrDwkaSJHWGhY0kSeoMCxtJktQZFjaSJKkzLGwkSVJnWNhIkqTOsLCRJEmdYWEjSZI6w8JGkiR1hoWNJEnqDH/d+zAk2Q98Z9xxrGMnAPvGHcQ6Zv5WzxyujvlbnVOr6phxBzEtZsYdwDrxHX9yfnBJdpu/wZm/1TOHq2P+VifJ7nHHME08FSVJkjrDwkaSJHWGhc3h+eC4A1jnzN/qmL/VM4erY/5Wx/yNkIOHJUlSZ3jERpIkdYaFjSRJ6oypL2ySXJLku0keSbInyUuXaX9Gki8leTjJvUl2Jsmo4p1EK8lhkm1JbkxyX5KHktye5IJRxjtpVvoeXLDcyUn2J3lw2DFOugH+jpPknUm+neTR9v34Z6OKd9IMkL/XJvlK+/7b1/5NnzKqeCdJkrOTfLrdH1SS8w9jGfcjQzTVhU2StwJXAX8KvAD4MnBTki2LtD8WuBm4H3gRcBnwB8DvjiTgCbTSHAIvBu4AzgGeB1wNfDDJuSMId+IMkL/55TYBNwC3DD3ICTdgDj8AXAJcDpwOvJ4pzeUAn4PPBG4Ebm3bvwrYDPzTSAKePI8H7gR+B3h4ucbuR0agqqZ2Av4NuKZn3t3A+xdpfzHwP8DmBfPeA9xLOxB72qaV5nCRPj4OfGLc27Ke8gf8JXAtcD7w4Li3Yz3lEDgVOAicPu7YJ2EaIH/nAIeAjQvmvRwo4IRxb8+Yc/kgcP4ybdyPDHma2iM27TfeXwa+0PPSF2iOKvRzFnBrVS2syj8PPAX4hbWOcdINmMN+jgV+vFZxrReD5i/JrwNvoPmmN9UGzOFvAPcAr0tyT5K9ST6c5MQhhjqRBszfbprCcEeSjUmOAd4BfK2q/NmF5bkfGbKpLWxofvtkI83hwIXuB05aZJmTFmk//9q0GSSHj5HkDcArmc77PKw4f0meDFwDbK+q/cMNb10Y5D34LOAZwNtojnhtB04DPpNk2j4TV5y/qtoLvBp4H/Ao8N/AGTTFtpbnfmTIpu2PuJ/eG/mkz7zl2vebP01WmsOmUfJrwPXAZVX178MIbJ1YSf6uA66uqq8ON6R1ZyU53AAcSVMc3lJVt9IUN79CM+ZhGh12/pKcBPwd8BGafG0D9gMfn8LCcFDuR4Zomt+E+2jOE/dWyCfys9X0vB8s0p4llumyQXIIQJKXADcBO6vq6uGEN/EGyd8rgCuSzCaZpdnBHN0+v2h4oU6sQXJ4HzBbVXctmHc3MAssOWi7gwbJ36XAT6vqXVX19aq6BTgPeBkrOwU9rdyPDNnUFjZVdQDYQ3NIdaFX01wV0M9XgJcmOaqn/feBvWsd46QbMIckOZumqHlfVf3V8CKcbAPm7wzgzAXTTporMc4E/mE4kU6uAXP4r8BMkl9cMO9ZwAzwvTUPcoINmL/H0RRDC80/n9p9ygq4Hxm2cY9eHucEvBU4AOygueTzKppR7c9oX38/8C8L2h9HU23fQHOp8ptpRrf/3ri3ZR3lcBvwU+DPab61zE9PGve2rIf89Vn+fLwqaqXvwQ00O/Mv0Vyu/IL2318FNox7e9ZB/l4BzAFXACcDLwQ+B/wHcPS4t2cM+Xs8//9F4yGaLxtnAlsWyZ/7kWH/n4w7gHFPNPey2EszCG4PcPaC13YBe3van0Fzv4tHaA5pX8GUX6K3khy2z6vPtHfUcU/KtNL3YM+yU1/YDJJD4Mk0R7j2Aw8AHwV+ftzbsY7y9zbgtrYA+iHwGeA5496OMeVu2yKfabuWyJ/7kSFO/gimJEnqDM+HSpKkzrCwkSRJnWFhI0mSOsPCRpIkdYaFjSRJ6gwLG0mS1BkWNpIkqTMsbCRJUmdY2EiSpM6wsJEkSZ1hYSNJkjrDwkaSJHWGhY0kSeoMCxtJktQZFjaSJKkzLGwkSVJnWNhIkqTOsLCRJEmdYWEjqa8km5LcneSzI15vknwjya2jXK+kbrCwkTosyY4kleSmJdp8tm1zSc9LlwHPBnYus4672uW/vEy7L7btti3VrqoKuAJ4SZJzlmorSb0sbKQOq6oPAZ8GXpfk0t7Xk1wMvB64qar+ZsH8o4E/Am6uqj2L9Z/k5cDJQAFnJXneGsV9I/At4E+SZC36lDQdLGyk7rsQ+CFwZZJT52cmOQX4C+BHwAU9y5wLPAHYtUzfF7WPV/Y8XwsfBk4BXrmGfUrqOAsbqeOq6gGa4uZxwHVJZpLMANe18y6qqh/0LPbbwAHgU4v1m+R44E3A3cB7gPuB85IctUah37AgFkk6LBY20hRoT+38PbCVZszMTuBFwK6q+seFbZMc17a7raoeWqLbdwBHtn3MAh8Fngj85hrF/D3gXuBVno6SdLgsbKTp8U7gu8C722kvzQDhXmcBG4Hdy/S3A5gDPtI+v7Z9XMvTUV8DTgBOX8M+JXWYhY00JapqP/DHNEXLRuDidl6vLe3jfYv1leRsmmLjn6vqP9v+7wRuo7maaa0KkflTZFuWbCVJLQsbaUok2QxcvmDWYqeMjm8ff7xEdxe2j9f2zN/V8/pq/Vf7eMIa9Sep4yxspOlxJXAacBXwDeCCJG/s0+7h9rHvIOAkTwTOAX7Czw4uvp5m0PHbkxy5BjFv7olJkpZkYSNNgSSvAS4F7qA5arMdeBS4Jknv0ZAH2sfj6e/tNEXPE4CH25vuVZIC9gGb2mXfsgahz8fwwJKtJKk1M+4AJA1Xkp+jOWV0EDivqh4F7kzyXpqjOH9LcwRm3u3t42mLdDl/muljQL+rpo5r+7uQ5gjOapxGM0D5jlX2I2lKWNhI3Xc18BTgXVV1+4L5HwDeCLwlyXlVdV07/5s0N/T71d6OkrwYeC7wrao6t9/KkmwA7gG2JTmlqu4aJOj2VNaZwNer6ieD9CFp+ngqSuqwJNuB3wJuoSlk/k9VzdHci+ZB4K+TPK2dX8AngacmeW5Pl/OXcn9osXW2/c4PKu43iPgPk+xaZHrhgnbbaE5rfeIwNlWSAEjzGSapa5JsoTmtFOCX2hve9Wu3A7gGuBl4bVVVkufTDDC+sqoub9sdB3yf5kjvU6tq3xLrfjrNfXJ+BDytqg4k+SLwsmXCflNVfart43qacTpPb++eLEnLsrCR1FeSzwPPB55ZVSO9KinJiTSF0fVVtWOU65a0vnkqStJifp/m/jGXjGHd7wYOAe8dw7olrWMWNpL6qqo7aH71+5FRrrf9Xaj7gO1VtejdjyWpH09FSZKkzvCIjSRJ6gwLG0mS1BkWNpIkqTMsbCRJUmdY2EiSpM6wsJEkSZ3xvww+dLvE+zU9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, binplot\n",
    "import pycalphad.variables as v\n",
    "\n",
    "# Load database and choose the phases that will be considered\n",
    "db_alfe = Database('alfe_sei.TDB')\n",
    "my_phases_alfe = ['LIQUID', 'B2_BCC', 'FCC_A1', 'HCP_A3', 'AL5FE2', 'AL2FE', 'AL13FE4', 'AL5FE4']\n",
    "\n",
    "# Create a matplotlib Figure object and get the active Axes\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "axes = fig.gca()\n",
    "\n",
    "# Plot the phase diagram on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n",
    "# Tielines are turned off by including `'tielines': False` in the plotting keword argument\n",
    "binplot(db_alfe, ['AL', 'FE', 'VA'] , my_phases_alfe, {v.X('AL'):(0,1,0.01), v.T: (300, 2000, 10), v.P:101325}, plot_kwargs={'ax': axes, 'tielines': False})\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nb-Re (Liu, 2013)\n",
    "\n",
    "X.L. Liu, C.Z. Hargather, Z.-K. Liu, CALPHAD 41 (2013) 119-127 doi:[10.1016/j.calphad.2013.02.006](https://doi.org/10.1016/j.calphad.2013.02.006)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, binplot, variables as v\n",
    "\n",
    "# Load database and choose the phases that will be plotted\n",
    "db_nbre = Database('nbre_liu.tdb')\n",
    "my_phases_nbre = ['CHI_RENB', 'SIGMARENB', 'FCC_RENB', 'LIQUID_RENB', 'BCC_RENB', 'HCP_RENB']\n",
    "\n",
    "# Create a matplotlib Figure object and get the active Axes\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "axes = fig.gca()\n",
    "\n",
    "# Plot the phase diagram on the existing axes using the `plot_kwargs={'ax': axes}` keyword argument\n",
    "binplot(db_nbre, ['NB', 'RE'] , my_phases_nbre, {v.X('RE'): (0,1,0.01), v.T: (1000, 3500, 20), v.P:101325}, plot_kwargs={'ax': axes})\n",
    "\n",
    "axes.set_xlim(0, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating Energy Surfaces of Binary Systems\n",
    "\n",
    "It is very common in CALPHAD modeling to directly examine the Gibbs energy surface of all the constituent phases in a system.\n",
    "\n",
    "Below we show how the Gibbs energy of all phases may be calculated as a function of composition at a given temperature (2800 K).\n",
    "\n",
    "Note that the chi phase has additional, internal degrees of freedom which allow it to take on multiple states for a given\n",
    "overall composition. Only the low-energy states are relevant to calculating the equilibrium phase diagram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from pycalphad import Database, calculate, variables as v\n",
    "from pycalphad.plot.utils import phase_legend\n",
    "import numpy as np\n",
    "\n",
    "# Load database and choose the phases that will be plotted\n",
    "db_nbre = Database('nbre_liu.tdb')\n",
    "my_phases_nbre = ['CHI_RENB', 'SIGMARENB', 'FCC_RENB', 'LIQUID_RENB', 'BCC_RENB', 'HCP_RENB']\n",
    "\n",
    "# Get the colors that map phase names to colors in the legend\n",
    "legend_handles, color_dict = phase_legend(my_phases_nbre)\n",
    "\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "ax = fig.gca()\n",
    "\n",
    "# Loop over phases, calculate the Gibbs energy, and scatter plot GM vs. X(RE)\n",
    "for phase_name in my_phases_nbre:\n",
    "    result = calculate(db_nbre, ['NB', 'RE'], phase_name, P=101325, T=2800, output='GM')\n",
    "    ax.scatter(result.X.sel(component='RE'), result.GM, marker='.', s=5, color=color_dict[phase_name])\n",
    "\n",
    "# Format the plot\n",
    "ax.set_xlabel('X(RE)')\n",
    "ax.set_ylabel('GM')\n",
    "ax.set_xlim((0, 1))\n",
    "ax.legend(handles=legend_handles, loc='center left', bbox_to_anchor=(1, 0.6))\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:calphad-dev-2]",
   "language": "python",
   "name": "conda-env-calphad-dev-2-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
